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Free Grade 3 Volume of Cylinders Quizzes

Free Grade 3 quizzes 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

Core

Estimated time

15 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 10 cm × 6 cm × 8 cm.[1]
  2. 2.Find the volume of a cuboid 10 cm × 10 cm × 3 cm.[1]
  3. 3.Find the volume of a cuboid 6 cm × 5 cm × 7 cm.[1]
  4. 4.Find the volume of a cuboid 9 cm × 7 cm × 9 cm.[1]
  5. 5.Find the volume of a cuboid 6 cm × 8 cm × 8 cm.[2]
  6. 6.Find the volume of a cuboid 2 cm × 7 cm × 10 cm.[2]
  7. 7.Find the volume of a cuboid 9 cm × 7 cm × 6 cm.[2]
  8. 8.Find the volume of a cuboid 5 cm × 3 cm × 3 cm.[2]
  9. 9.Find the surface area of a cuboid 5 cm × 5 cm × 5 cm.[3]
  10. 10.Find the surface area of a cuboid 9 cm × 6 cm × 6 cm.[3]
  11. 11.Find the surface area of a cuboid 10 cm × 6 cm × 10 cm.[3]
  12. 12.Find the surface area of a cuboid 9 cm × 5 cm × 9 cm.[3]
Show answers and working
  1. 1. 480 cm³

    Volume = length × width × height. 10 × 6 × 8 = 480 cm³.

  2. 2. 300 cm³

    Volume = length × width × height. 10 × 10 × 3 = 300 cm³.

  3. 3. 210 cm³

    Volume = length × width × height. 6 × 5 × 7 = 210 cm³.

  4. 4. 567 cm³

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

  5. 5. 384 cm³

    Volume = length × width × height. 6 × 8 × 8 = 384 cm³.

  6. 6. 140 cm³

    Volume = length × width × height. 2 × 7 × 10 = 140 cm³.

  7. 7. 378 cm³

    Volume = length × width × height. 9 × 7 × 6 = 378 cm³.

  8. 8. 45 cm³

    Volume = length × width × height. 5 × 3 × 3 = 45 cm³.

  9. 9. 150 cm²

    Three pairs of faces: 25, 25, 25. 2 × (25 + 25 + 25) = 150 cm².

  10. 10. 288 cm²

    Three pairs of faces: 54, 36, 54. 2 × (54 + 36 + 54) = 288 cm².

  11. 11. 440 cm²

    Three pairs of faces: 60, 60, 100. 2 × (60 + 60 + 100) = 440 cm².

  12. 12. 342 cm²

    Three pairs of faces: 45, 45, 81. 2 × (45 + 45 + 81) = 342 cm².

Worked examples

Easy example

Find the volume of a cuboid 7 cm × 5 cm × 8 cm.

  1. Volume = length × width × height.
  2. 7 × 5 × 8 = 280 cm³.
  3. Answer: 280 cm³
Medium example

Find the volume of a cuboid 10 cm × 9 cm × 6 cm.

  1. Volume = length × width × height.
  2. 10 × 9 × 6 = 540 cm³.
  3. Answer: 540 cm³
Hard example

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

  1. Three pairs of faces: 24, 21, 56.
  2. 2 × (24 + 21 + 56) = 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 quiz really free?
Yes. Every quizzes 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 quiz 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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