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Chapter 42: Metric Measurement and Unit Conversion

Learn Grade 8 Math from beginner foundations through advanced Grade 8 problem solving with detailed explanations, at least five examples per topic, practice exercises, and review questions.

Grade 8Beginner Friendly5+ Examples Per TopicPractice30 Q&A
Estimated reading time0% read
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What this chapter covers

This chapter contains 14 topics. Technical terms are followed by plain-language meanings where they first appear. Each topic includes at least five worked examples. Coding is included only where it naturally supports the Grade 8 coding expectations.

42.1 Millimetres

Millimetres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Millimetres. Show the important steps, include units when needed, and explain how you checked the answer.

42.2 Centimetres

Centimetres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Centimetres. Show the important steps, include units when needed, and explain how you checked the answer.

42.3 Metres

Metres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Metres. Show the important steps, include units when needed, and explain how you checked the answer.

42.4 Kilometres

Kilometres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Kilometres. Show the important steps, include units when needed, and explain how you checked the answer.

42.5 Milligrams

Milligrams is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Milligrams. Show the important steps, include units when needed, and explain how you checked the answer.

42.6 Grams

Grams is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Grams. Show the important steps, include units when needed, and explain how you checked the answer.

42.7 Kilograms

Kilograms is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Kilograms. Show the important steps, include units when needed, and explain how you checked the answer.

42.8 Millilitres

Millilitres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Millilitres. Show the important steps, include units when needed, and explain how you checked the answer.

42.9 Litres

Litres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Litres. Show the important steps, include units when needed, and explain how you checked the answer.

42.10 Metric prefixes

The metric system is a base-10 measurement system used for length, mass, capacity, area, and volume. In this section, the focus is Metric prefixes.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Convert 0.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 0.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 50 cm

Worked Example 2

Problem: Convert 1.2 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 1.2 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 120 cm

Worked Example 3

Problem: Convert 2.75 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 2.75 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 275 cm

Worked Example 4

Problem: Convert 3.6 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 3.6 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 360 cm

Worked Example 5

Problem: Convert 4.05 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 4.05 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 405 cm

Worked Example 6

Problem: Convert 5.5 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 5.5 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 550 cm

Worked Example 7

Problem: Convert 7.25 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 7.25 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 725 cm

Worked Example 8

Problem: Convert 8.8 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 8.8 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 880 cm

Worked Example 9

Problem: Convert 10.1 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 10.1 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,010 cm

Worked Example 10

Problem: Convert 12.45 metres to centimetres.

  1. Use 1 m = 100 cm.
  2. Multiply 12.45 by 100.

Very beginner explanation: Metric conversions use powers of 10, so decimal movement corresponds to multiplying or dividing by 10, 100, or 1000.

Answer: 1,245 cm

Practice exercise

Create one new Grade 8 problem involving Metric prefixes. Show the important steps, include units when needed, and explain how you checked the answer.

42.11 Length conversions

Length conversions is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Length conversions: Explain Length conversions in one simple sentence.

  1. Look at the words in “Length conversions”.
  2. State what the idea is used for.
  3. Give one small mathematical example.

Very beginner explanation: A beginner should first understand the meaning before memorizing a rule.

Answer: Length conversions is a Grade 8 math idea used to describe or solve a specific mathematical relationship.

Worked Example 2

Problem: Length conversions: A student says, “I can use Length conversions without checking units or labels.” Is that a good method?

  1. Read the statement.
  2. Ask whether units, signs, labels, or conditions matter.
  3. Decide whether the method is safe.

Very beginner explanation: Many math mistakes come from using a correct calculation on the wrong quantity.

Answer: No. Important units, labels, signs, and conditions must be checked.

Worked Example 3

Problem: Length conversions: What is the first step when solving a problem about Length conversions?

  1. Read the whole question.
  2. Underline the known information.
  3. Identify what must be found.

Very beginner explanation: This prevents you from calculating before you understand the problem.

Answer: Identify the given information and the unknown before choosing a rule.

Worked Example 4

Problem: Length conversions: After solving a Length conversions problem, what should you do before accepting the answer?

  1. Estimate the expected size or direction.
  2. Check units and signs.
  3. Use an inverse method if possible.

Very beginner explanation: Checking is part of solving, not an optional extra.

Answer: Check whether the answer is reasonable and consistent with the problem.

Worked Example 5

Problem: Length conversions: Give one way Length conversions could appear outside a textbook.

  1. Think about money, measurements, data, maps, geometry, or technology.
  2. Connect the topic to one of those situations.

Very beginner explanation: Connecting math to real situations makes the rule easier to remember.

Answer: Length conversions can be used in a real-life situation where quantities must be compared, measured, predicted, or calculated.

Worked Example 6

Problem: Length conversions: Which representation could help explain Length conversions: a table, graph, diagram, equation, or number line?

  1. Choose the representation that makes the relationship easiest to see.
  2. Label it clearly.

Very beginner explanation: Different representations show different features of the same mathematics.

Answer: Use the representation that best matches the problem; more than one may be valid.

Worked Example 7

Problem: Length conversions: A student gets an answer for Length conversions but cannot explain the steps. What should be improved?

  1. Rewrite the solution one step at a time.
  2. Name the rule used at each important step.

Very beginner explanation: A correct final number without reasoning may hide an error.

Answer: The reasoning should be shown so the solution can be checked.

Worked Example 8

Problem: Length conversions: Why can estimation help before a detailed Length conversions calculation?

  1. Round or use benchmark values.
  2. Predict the approximate answer.
  3. Compare the exact result with the estimate.

Very beginner explanation: If the exact answer is far from the estimate, recheck the work.

Answer: Estimation gives a target range for the final answer.

Worked Example 9

Problem: Length conversions: How can you test whether your rule for Length conversions works?

  1. Choose a very small easy example.
  2. Apply the rule.
  3. Check the result another way.

Very beginner explanation: Small examples expose mistakes quickly.

Answer: Test the rule on a simple case whose answer can be verified.

Worked Example 10

Problem: Length conversions: How would you teach Length conversions to someone seeing it for the first time?

  1. Define the idea.
  2. Show one easy example.
  3. Explain every step.
  4. Then let the learner try a similar problem.

Very beginner explanation: This sequence reduces memorization without understanding.

Answer: Teach meaning first, then a small worked example, then guided practice.

Practice exercise

Create one new Grade 8 problem involving Length conversions. Show the important steps, include units when needed, and explain how you checked the answer.

42.12 Mass conversions

Mass conversions is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Mass conversions: Explain Mass conversions in one simple sentence.

  1. Look at the words in “Mass conversions”.
  2. State what the idea is used for.
  3. Give one small mathematical example.

Very beginner explanation: A beginner should first understand the meaning before memorizing a rule.

Answer: Mass conversions is a Grade 8 math idea used to describe or solve a specific mathematical relationship.

Worked Example 2

Problem: Mass conversions: A student says, “I can use Mass conversions without checking units or labels.” Is that a good method?

  1. Read the statement.
  2. Ask whether units, signs, labels, or conditions matter.
  3. Decide whether the method is safe.

Very beginner explanation: Many math mistakes come from using a correct calculation on the wrong quantity.

Answer: No. Important units, labels, signs, and conditions must be checked.

Worked Example 3

Problem: Mass conversions: What is the first step when solving a problem about Mass conversions?

  1. Read the whole question.
  2. Underline the known information.
  3. Identify what must be found.

Very beginner explanation: This prevents you from calculating before you understand the problem.

Answer: Identify the given information and the unknown before choosing a rule.

Worked Example 4

Problem: Mass conversions: After solving a Mass conversions problem, what should you do before accepting the answer?

  1. Estimate the expected size or direction.
  2. Check units and signs.
  3. Use an inverse method if possible.

Very beginner explanation: Checking is part of solving, not an optional extra.

Answer: Check whether the answer is reasonable and consistent with the problem.

Worked Example 5

Problem: Mass conversions: Give one way Mass conversions could appear outside a textbook.

  1. Think about money, measurements, data, maps, geometry, or technology.
  2. Connect the topic to one of those situations.

Very beginner explanation: Connecting math to real situations makes the rule easier to remember.

Answer: Mass conversions can be used in a real-life situation where quantities must be compared, measured, predicted, or calculated.

Worked Example 6

Problem: Mass conversions: Which representation could help explain Mass conversions: a table, graph, diagram, equation, or number line?

  1. Choose the representation that makes the relationship easiest to see.
  2. Label it clearly.

Very beginner explanation: Different representations show different features of the same mathematics.

Answer: Use the representation that best matches the problem; more than one may be valid.

Worked Example 7

Problem: Mass conversions: A student gets an answer for Mass conversions but cannot explain the steps. What should be improved?

  1. Rewrite the solution one step at a time.
  2. Name the rule used at each important step.

Very beginner explanation: A correct final number without reasoning may hide an error.

Answer: The reasoning should be shown so the solution can be checked.

Worked Example 8

Problem: Mass conversions: Why can estimation help before a detailed Mass conversions calculation?

  1. Round or use benchmark values.
  2. Predict the approximate answer.
  3. Compare the exact result with the estimate.

Very beginner explanation: If the exact answer is far from the estimate, recheck the work.

Answer: Estimation gives a target range for the final answer.

Worked Example 9

Problem: Mass conversions: How can you test whether your rule for Mass conversions works?

  1. Choose a very small easy example.
  2. Apply the rule.
  3. Check the result another way.

Very beginner explanation: Small examples expose mistakes quickly.

Answer: Test the rule on a simple case whose answer can be verified.

Worked Example 10

Problem: Mass conversions: How would you teach Mass conversions to someone seeing it for the first time?

  1. Define the idea.
  2. Show one easy example.
  3. Explain every step.
  4. Then let the learner try a similar problem.

Very beginner explanation: This sequence reduces memorization without understanding.

Answer: Teach meaning first, then a small worked example, then guided practice.

Practice exercise

Create one new Grade 8 problem involving Mass conversions. Show the important steps, include units when needed, and explain how you checked the answer.

42.13 Capacity conversions

Capacity conversions is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Find the volume of a rectangular prism 4 cm × 2 cm × 3 cm.

  1. Use V = lwh.
  2. V = 4×2×3.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 24 cm³

Worked Example 2

Problem: Find the volume of a rectangular prism 5 cm × 3 cm × 4 cm.

  1. Use V = lwh.
  2. V = 5×3×4.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 60 cm³

Worked Example 3

Problem: Find the volume of a rectangular prism 6 cm × 4 cm × 5 cm.

  1. Use V = lwh.
  2. V = 6×4×5.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 120 cm³

Worked Example 4

Problem: Find the volume of a rectangular prism 7 cm × 5 cm × 6 cm.

  1. Use V = lwh.
  2. V = 7×5×6.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 210 cm³

Worked Example 5

Problem: Find the volume of a rectangular prism 8 cm × 6 cm × 7 cm.

  1. Use V = lwh.
  2. V = 8×6×7.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 336 cm³

Worked Example 6

Problem: Find the volume of a rectangular prism 9 cm × 7 cm × 8 cm.

  1. Use V = lwh.
  2. V = 9×7×8.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 504 cm³

Worked Example 7

Problem: Find the volume of a rectangular prism 10 cm × 8 cm × 9 cm.

  1. Use V = lwh.
  2. V = 10×8×9.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 720 cm³

Worked Example 8

Problem: Find the volume of a rectangular prism 11 cm × 9 cm × 10 cm.

  1. Use V = lwh.
  2. V = 11×9×10.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 990 cm³

Worked Example 9

Problem: Find the volume of a rectangular prism 12 cm × 10 cm × 11 cm.

  1. Use V = lwh.
  2. V = 12×10×11.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 1320 cm³

Worked Example 10

Problem: Find the volume of a rectangular prism 13 cm × 11 cm × 12 cm.

  1. Use V = lwh.
  2. V = 13×11×12.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 1716 cm³

Practice exercise

Create one new Grade 8 problem involving Capacity conversions. Show the important steps, include units when needed, and explain how you checked the answer.

42.14 Area and volume unit conversions

Area measures the amount of two-dimensional space inside a figure and uses square units. In this section, the focus is Area and volume unit conversions.

For a beginner, focus on the meaning before memorizing a procedure. Start with a small example, name the quantities and units, apply one rule at a time, and connect the result back to the question.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: Find the volume of a rectangular prism 4 cm × 2 cm × 3 cm.

  1. Use V = lwh.
  2. V = 4×2×3.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 24 cm³

Worked Example 2

Problem: Find the volume of a rectangular prism 5 cm × 3 cm × 4 cm.

  1. Use V = lwh.
  2. V = 5×3×4.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 60 cm³

Worked Example 3

Problem: Find the volume of a rectangular prism 6 cm × 4 cm × 5 cm.

  1. Use V = lwh.
  2. V = 6×4×5.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 120 cm³

Worked Example 4

Problem: Find the volume of a rectangular prism 7 cm × 5 cm × 6 cm.

  1. Use V = lwh.
  2. V = 7×5×6.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 210 cm³

Worked Example 5

Problem: Find the volume of a rectangular prism 8 cm × 6 cm × 7 cm.

  1. Use V = lwh.
  2. V = 8×6×7.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 336 cm³

Worked Example 6

Problem: Find the volume of a rectangular prism 9 cm × 7 cm × 8 cm.

  1. Use V = lwh.
  2. V = 9×7×8.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 504 cm³

Worked Example 7

Problem: Find the volume of a rectangular prism 10 cm × 8 cm × 9 cm.

  1. Use V = lwh.
  2. V = 10×8×9.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 720 cm³

Worked Example 8

Problem: Find the volume of a rectangular prism 11 cm × 9 cm × 10 cm.

  1. Use V = lwh.
  2. V = 11×9×10.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 990 cm³

Worked Example 9

Problem: Find the volume of a rectangular prism 12 cm × 10 cm × 11 cm.

  1. Use V = lwh.
  2. V = 12×10×11.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 1320 cm³

Worked Example 10

Problem: Find the volume of a rectangular prism 13 cm × 11 cm × 12 cm.

  1. Use V = lwh.
  2. V = 13×11×12.

Very beginner explanation: Volume measures 3D space, so cubic units are used.

Answer: 1716 cm³

Practice exercise

Create one new Grade 8 problem involving Area and volume unit conversions. Show the important steps, include units when needed, and explain how you checked the answer.

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Chapter 42 Review Questions and Answers

Q1. What is important to remember about Millimetres?

Answer: Millimetres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q2. What is important to remember about Centimetres?

Answer: Centimetres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q3. What is important to remember about Metres?

Answer: Metres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q4. What is important to remember about Kilometres?

Answer: Kilometres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q5. What is important to remember about Milligrams?

Answer: Milligrams is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q6. What is important to remember about Grams?

Answer: Grams is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q7. What is important to remember about Kilograms?

Answer: Kilograms is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q8. What is important to remember about Millilitres?

Answer: Millilitres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q9. What is important to remember about Litres?

Answer: Litres is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q10. What is important to remember about Metric prefixes?

Answer: The metric system is a base-10 measurement system used for length, mass, capacity, area, and volume. In this section, the focus is Metric prefixes.

Q11. What is important to remember about Length conversions?

Answer: Length conversions is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q12. What is important to remember about Mass conversions?

Answer: Mass conversions is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q13. What is important to remember about Capacity conversions?

Answer: Capacity conversions is an important Grade 8 concept in Metric Measurement and Unit Conversion. Start by identifying the quantities, relationships, units, or rules involved. Work with a small example first, show the important steps, and check whether the result is reasonable.

Q14. What is important to remember about Area and volume unit conversions?

Answer: Area measures the amount of two-dimensional space inside a figure and uses square units. In this section, the focus is Area and volume unit conversions.

Q15. Why should you show your steps?

Answer: Showing steps makes reasoning easier to verify and helps locate mistakes.

Q16. Why is estimation useful?

Answer: Estimation helps you judge whether a calculated answer is reasonable.

Q17. Why do units matter?

Answer: Units tell what a value measures and prevent incompatible quantities from being mixed.

Q18. When should you round?

Answer: Usually round near the end unless the question specifically asks for earlier rounding.

Q19. How can you check an answer?

Answer: Use an inverse operation, substitution, estimation, a graph, or a second method.

Q20. What should you identify first in a word problem?

Answer: Identify what is known, what is unknown, and the mathematical relationship connecting them.

Q21. What makes a final answer complete?

Answer: Give the value, correct units when needed, and a brief interpretation in context.

Q22. What should you do if an answer seems unreasonable?

Answer: Re-read the question and check copied values, signs, units, formulas, and calculations.

Q23. Why are diagrams useful?

Answer: A labelled diagram can reveal relationships among lengths, angles, areas, and coordinates.

Q24. Why are tables useful?

Answer: Tables organize values and help reveal patterns, rates, relationships, and missing information.

Q25. Why should you explain your reasoning?

Answer: Reasoning shows why a method works, not just what answer was obtained.

Q26. How do mistakes help learning?

Answer: Analyzing a mistake identifies the misunderstood rule or step and helps prevent repetition.

Q27. When is a calculator useful?

Answer: A calculator helps with lengthy arithmetic after the mathematical setup is understood and estimated.

Q28. Why compare more than one strategy?

Answer: Different strategies may make a problem easier and provide a way to verify the result.

Q29. What is mathematical communication?

Answer: It is presenting ideas clearly with words, symbols, diagrams, tables, graphs, and justified steps.

Q30. What is mathematical modelling?

Answer: It is representing a real situation with mathematics, testing the model, and revising it if needed.