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Free Grade 3 Introducing Volume of Cylinders Worksheets

Free Grade 3 worksheets for Introducing 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

Foundation

Estimated time

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing volume of cylinders

    Identify introducing volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing volume of cylinders

    Explain introducing volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing volume of cylinders

    Calculate introducing volume of cylinders accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing volume of cylinders

    Compare introducing 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 Introducing 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 7 cm × 9 cm × 9 cm.[1]
  2. 2.Find the volume of a cuboid 6 cm × 3 cm × 3 cm.[1]
  3. 3.Find the volume of a cuboid 5 cm × 3 cm × 2 cm.[1]
  4. 4.Find the volume of a cuboid 9 cm × 9 cm × 4 cm.[1]
  5. 5.Find the volume of a cuboid 9 cm × 8 cm × 6 cm.[2]
  6. 6.Find the volume of a cuboid 2 cm × 9 cm × 4 cm.[2]
  7. 7.Find the volume of a cuboid 9 cm × 2 cm × 8 cm.[2]
  8. 8.Find the volume of a cuboid 2 cm × 9 cm × 3 cm.[2]
  9. 9.Find the surface area of a cuboid 4 cm × 2 cm × 8 cm.[3]
  10. 10.Find the surface area of a cuboid 10 cm × 9 cm × 10 cm.[3]
  11. 11.Find the surface area of a cuboid 8 cm × 8 cm × 4 cm.[3]
  12. 12.Find the surface area of a cuboid 2 cm × 2 cm × 6 cm.[3]
Show answers and working
  1. 1. 567 cm³

    Volume = length × width × height. 7 × 9 × 9 = 567 cm³.

  2. 2. 54 cm³

    Volume = length × width × height. 6 × 3 × 3 = 54 cm³.

  3. 3. 30 cm³

    Volume = length × width × height. 5 × 3 × 2 = 30 cm³.

  4. 4. 324 cm³

    Volume = length × width × height. 9 × 9 × 4 = 324 cm³.

  5. 5. 432 cm³

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

  6. 6. 72 cm³

    Volume = length × width × height. 2 × 9 × 4 = 72 cm³.

  7. 7. 144 cm³

    Volume = length × width × height. 9 × 2 × 8 = 144 cm³.

  8. 8. 54 cm³

    Volume = length × width × height. 2 × 9 × 3 = 54 cm³.

  9. 9. 112 cm²

    Three pairs of faces: 8, 16, 32. 2 × (8 + 16 + 32) = 112 cm².

  10. 10. 560 cm²

    Three pairs of faces: 90, 90, 100. 2 × (90 + 90 + 100) = 560 cm².

  11. 11. 256 cm²

    Three pairs of faces: 64, 32, 32. 2 × (64 + 32 + 32) = 256 cm².

  12. 12. 56 cm²

    Three pairs of faces: 4, 12, 12. 2 × (4 + 12 + 12) = 56 cm².

Worked examples

Easy example

Find the volume of a cuboid 6 cm × 10 cm × 5 cm.

  1. Volume = length × width × height.
  2. 6 × 10 × 5 = 300 cm³.
  3. Answer: 300 cm³
Medium example

Find the volume of a cuboid 5 cm × 6 cm × 2 cm.

  1. Volume = length × width × height.
  2. 5 × 6 × 2 = 60 cm³.
  3. Answer: 60 cm³
Hard example

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

  1. Three pairs of faces: 14, 4, 14.
  2. 2 × (14 + 4 + 14) = 64 cm².
  3. Answer: 64 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.

CAMBRIDGE CAM-598.1 — Mapped statement covering Introducing Volume of Cylinders.NATIONAL-CURRICULUM NAT-722.2 — Mapped statement covering Introducing Volume of Cylinders.

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Frequently asked

Is this Grade 3 Introducing 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. 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 Introducing Volume of Cylinders?
Move on to Working with Volume of Cylinders, Volume of Cylinders in Context, Nets, Surface Area, which build directly on this idea.

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