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Free Grade 3 Volume of Cylinders Worksheets

Free Grade 3 worksheets for 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

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify volume of cylinders

    Identify volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain volume of cylinders

    Explain volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate volume of cylinders

    Calculate volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare volume of cylinders

    Compare 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 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 6 cm × 8 cm × 6 cm.[1]
  2. 2.Find the volume of a cuboid 3 cm × 7 cm × 6 cm.[1]
  3. 3.Find the volume of a cuboid 4 cm × 5 cm × 3 cm.[1]
  4. 4.Find the volume of a cuboid 5 cm × 7 cm × 3 cm.[1]
  5. 5.Find the volume of a cuboid 8 cm × 7 cm × 5 cm.[2]
  6. 6.Find the volume of a cuboid 10 cm × 2 cm × 10 cm.[2]
  7. 7.Find the volume of a cuboid 5 cm × 4 cm × 10 cm.[2]
  8. 8.Find the volume of a cuboid 3 cm × 4 cm × 9 cm.[2]
  9. 9.Find the surface area of a cuboid 6 cm × 2 cm × 9 cm.[3]
  10. 10.Find the surface area of a cuboid 3 cm × 3 cm × 5 cm.[3]
  11. 11.Find the surface area of a cuboid 2 cm × 4 cm × 3 cm.[3]
  12. 12.Find the surface area of a cuboid 8 cm × 9 cm × 9 cm.[3]
Show answers and working
  1. 1. 288 cm³

    Volume = length × width × height. 6 × 8 × 6 = 288 cm³.

  2. 2. 126 cm³

    Volume = length × width × height. 3 × 7 × 6 = 126 cm³.

  3. 3. 60 cm³

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

  4. 4. 105 cm³

    Volume = length × width × height. 5 × 7 × 3 = 105 cm³.

  5. 5. 280 cm³

    Volume = length × width × height. 8 × 7 × 5 = 280 cm³.

  6. 6. 200 cm³

    Volume = length × width × height. 10 × 2 × 10 = 200 cm³.

  7. 7. 200 cm³

    Volume = length × width × height. 5 × 4 × 10 = 200 cm³.

  8. 8. 108 cm³

    Volume = length × width × height. 3 × 4 × 9 = 108 cm³.

  9. 9. 168 cm²

    Three pairs of faces: 12, 18, 54. 2 × (12 + 18 + 54) = 168 cm².

  10. 10. 78 cm²

    Three pairs of faces: 9, 15, 15. 2 × (9 + 15 + 15) = 78 cm².

  11. 11. 52 cm²

    Three pairs of faces: 8, 12, 6. 2 × (8 + 12 + 6) = 52 cm².

  12. 12. 450 cm²

    Three pairs of faces: 72, 81, 72. 2 × (72 + 81 + 72) = 450 cm².

Worked examples

Easy example

Find the volume of a cuboid 2 cm × 10 cm × 9 cm.

  1. Volume = length × width × height.
  2. 2 × 10 × 9 = 180 cm³.
  3. Answer: 180 cm³
Medium example

Find the volume of a cuboid 9 cm × 7 cm × 4 cm.

  1. Volume = length × width × height.
  2. 9 × 7 × 4 = 252 cm³.
  3. Answer: 252 cm³
Hard example

Find the surface area of a cuboid 3 cm × 7 cm × 8 cm.

  1. Three pairs of faces: 21, 56, 24.
  2. 2 × (21 + 56 + 24) = 202 cm².
  3. Answer: 202 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.

IB IB-539.1 — Mapped statement covering Volume of Cylinders.EDEXCEL EDE-370.2 — Mapped statement covering Volume of Cylinders.

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Frequently asked

Is this Grade 3 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 Volume of Prisms, Surface Area, Perimeter and Area. 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 Volume of Cylinders?
Move on to Volume of Spheres, Angles, 2D Shapes, Perimeter and Area, which build directly on this idea.

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