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Free Grade 3 Introducing Volume of Spheres Worksheets

Free Grade 3 worksheets for Introducing Volume of Spheres: 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

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing volume of spheres

    Identify introducing volume of spheres accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing volume of spheres

    Explain introducing volume of spheres accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing volume of spheres

    Calculate introducing volume of spheres accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing volume of spheres

    Compare introducing volume of spheres 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 Spheres 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 × 7 cm × 2 cm.[1]
  2. 2.Find the volume of a cuboid 7 cm × 8 cm × 9 cm.[1]
  3. 3.Find the volume of a cuboid 8 cm × 4 cm × 8 cm.[1]
  4. 4.Find the volume of a cuboid 2 cm × 7 cm × 6 cm.[1]
  5. 5.Find the volume of a cuboid 7 cm × 3 cm × 2 cm.[2]
  6. 6.Find the volume of a cuboid 8 cm × 7 cm × 6 cm.[2]
  7. 7.Find the volume of a cuboid 7 cm × 3 cm × 8 cm.[2]
  8. 8.Find the volume of a cuboid 8 cm × 7 cm × 2 cm.[2]
  9. 9.Find the surface area of a cuboid 3 cm × 9 cm × 4 cm.[3]
  10. 10.Find the surface area of a cuboid 10 cm × 9 cm × 2 cm.[3]
  11. 11.Find the surface area of a cuboid 2 cm × 9 cm × 6 cm.[3]
  12. 12.Find the surface area of a cuboid 9 cm × 6 cm × 2 cm.[3]
Show answers and working
  1. 1. 84 cm³

    Volume = length × width × height. 6 × 7 × 2 = 84 cm³.

  2. 2. 504 cm³

    Volume = length × width × height. 7 × 8 × 9 = 504 cm³.

  3. 3. 256 cm³

    Volume = length × width × height. 8 × 4 × 8 = 256 cm³.

  4. 4. 84 cm³

    Volume = length × width × height. 2 × 7 × 6 = 84 cm³.

  5. 5. 42 cm³

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

  6. 6. 336 cm³

    Volume = length × width × height. 8 × 7 × 6 = 336 cm³.

  7. 7. 168 cm³

    Volume = length × width × height. 7 × 3 × 8 = 168 cm³.

  8. 8. 112 cm³

    Volume = length × width × height. 8 × 7 × 2 = 112 cm³.

  9. 9. 150 cm²

    Three pairs of faces: 27, 36, 12. 2 × (27 + 36 + 12) = 150 cm².

  10. 10. 256 cm²

    Three pairs of faces: 90, 18, 20. 2 × (90 + 18 + 20) = 256 cm².

  11. 11. 168 cm²

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

  12. 12. 168 cm²

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

Worked examples

Easy example

Find the volume of a cuboid 10 cm × 7 cm × 2 cm.

  1. Volume = length × width × height.
  2. 10 × 7 × 2 = 140 cm³.
  3. Answer: 140 cm³
Medium example

Find the volume of a cuboid 9 cm × 5 cm × 10 cm.

  1. Volume = length × width × height.
  2. 9 × 5 × 10 = 450 cm³.
  3. Answer: 450 cm³
Hard example

Find the surface area of a cuboid 10 cm × 3 cm × 9 cm.

  1. Three pairs of faces: 30, 27, 90.
  2. 2 × (30 + 27 + 90) = 294 cm².
  3. Answer: 294 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-353.1 — Mapped statement covering Introducing Volume of Spheres.EDEXCEL EDE-412.2 — Mapped statement covering Introducing Volume of Spheres.

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Frequently asked

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

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