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Free Grade 3 Working with Volume of Cylinders Worksheets

Free Grade 3 worksheets for Working with Volume of Cylinders: 12 real questions with a full answer key and worked solutions. Volume is how much space a 3D shape takes up. For a cuboid, multiply length × width × height. Surface area is the total area of all faces.

Price

Free

Difficulty

Higher

Estimated time

15 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify working with volume of cylinders

    Identify working with volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with volume of cylinders

    Explain working with volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with volume of cylinders

    Calculate working with volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with volume of cylinders

    Compare working with volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

How Working with Volume of Cylinders works

Volume is how much space a 3D shape takes up. For a cuboid, multiply length × width × height. Surface area is the total area of all faces.

Key wordsvolumecubic unitssurface areafaceedge

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Find the volume of a cuboid 3 cm × 4 cm × 5 cm.[1]
  2. 2.Find the volume of a cuboid 2 cm × 10 cm × 3 cm.[1]
  3. 3.Find the volume of a cuboid 7 cm × 3 cm × 10 cm.[1]
  4. 4.Find the volume of a cuboid 6 cm × 4 cm × 8 cm.[1]
  5. 5.Find the volume of a cuboid 3 cm × 9 cm × 8 cm.[2]
  6. 6.Find the volume of a cuboid 8 cm × 10 cm × 9 cm.[2]
  7. 7.Find the volume of a cuboid 7 cm × 2 cm × 3 cm.[2]
  8. 8.Find the volume of a cuboid 9 cm × 8 cm × 6 cm.[2]
  9. 9.Find the surface area of a cuboid 5 cm × 8 cm × 3 cm.[3]
  10. 10.Find the surface area of a cuboid 10 cm × 2 cm × 6 cm.[3]
  11. 11.Find the surface area of a cuboid 6 cm × 6 cm × 6 cm.[3]
  12. 12.Find the surface area of a cuboid 10 cm × 6 cm × 2 cm.[3]
Show answers and working
  1. 1. 60 cm³

    Volume = length × width × height. 3 × 4 × 5 = 60 cm³.

  2. 2. 60 cm³

    Volume = length × width × height. 2 × 10 × 3 = 60 cm³.

  3. 3. 210 cm³

    Volume = length × width × height. 7 × 3 × 10 = 210 cm³.

  4. 4. 192 cm³

    Volume = length × width × height. 6 × 4 × 8 = 192 cm³.

  5. 5. 216 cm³

    Volume = length × width × height. 3 × 9 × 8 = 216 cm³.

  6. 6. 720 cm³

    Volume = length × width × height. 8 × 10 × 9 = 720 cm³.

  7. 7. 42 cm³

    Volume = length × width × height. 7 × 2 × 3 = 42 cm³.

  8. 8. 432 cm³

    Volume = length × width × height. 9 × 8 × 6 = 432 cm³.

  9. 9. 158 cm²

    Three pairs of faces: 40, 24, 15. 2 × (40 + 24 + 15) = 158 cm².

  10. 10. 184 cm²

    Three pairs of faces: 20, 12, 60. 2 × (20 + 12 + 60) = 184 cm².

  11. 11. 216 cm²

    Three pairs of faces: 36, 36, 36. 2 × (36 + 36 + 36) = 216 cm².

  12. 12. 184 cm²

    Three pairs of faces: 60, 12, 20. 2 × (60 + 12 + 20) = 184 cm².

Worked examples

Easy example

Find the volume of a cuboid 10 cm × 5 cm × 7 cm.

  1. Volume = length × width × height.
  2. 10 × 5 × 7 = 350 cm³.
  3. Answer: 350 cm³
Medium example

Find the volume of a cuboid 8 cm × 2 cm × 6 cm.

  1. Volume = length × width × height.
  2. 8 × 2 × 6 = 96 cm³.
  3. Answer: 96 cm³
Hard example

Find the surface area of a cuboid 7 cm × 2 cm × 6 cm.

  1. Three pairs of faces: 14, 12, 42.
  2. 2 × (14 + 12 + 42) = 136 cm².
  3. Answer: 136 cm²

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Adds the dimensions instead of multiplying.

    Correction: Volume = l × w × h.

  • Counts only three faces for surface area.

    Correction: A cuboid has six faces — three matching pairs.

Teacher tips

  • · Build cuboids from cubes before using the formula.

Parent tips

  • · Work out how many sugar cubes fit in a box.

Real-life applications

  • · Filling a fish tank, wrapping a present.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

CBSE CBS-691.1 — Mapped statement covering Working with Volume of Cylinders.COLLEGE-BOARD COL-758.2 — Mapped statement covering Working with Volume of Cylinders.

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Frequently asked

Is this Grade 3 Working with Volume of Cylinders worksheet really free?
Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Introducing Volume of Cylinders, Volume of Prisms. Each one has its own free lesson, worksheet and quiz.
How is the worksheet sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Working with Volume of Cylinders?
Move on to Volume of Cylinders in Context, Nets, Surface Area, Volume of Prisms, which build directly on this idea.

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