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Free Grade 3 Volume of Prisms Worksheets

Free Grade 3 worksheets for Volume of Prisms: 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.

  • UnderstandExplain volume of prisms

    Explain volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate volume of prisms

    Calculate volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare volume of prisms

    Compare volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify volume of prisms

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

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

  2. 2. 270 cm³

    Volume = length × width × height. 3 × 10 × 9 = 270 cm³.

  3. 3. 64 cm³

    Volume = length × width × height. 4 × 2 × 8 = 64 cm³.

  4. 4. 140 cm³

    Volume = length × width × height. 4 × 7 × 5 = 140 cm³.

  5. 5. 189 cm³

    Volume = length × width × height. 9 × 3 × 7 = 189 cm³.

  6. 6. 80 cm³

    Volume = length × width × height. 2 × 5 × 8 = 80 cm³.

  7. 7. 48 cm³

    Volume = length × width × height. 3 × 4 × 4 = 48 cm³.

  8. 8. 80 cm³

    Volume = length × width × height. 5 × 2 × 8 = 80 cm³.

  9. 9. 162 cm²

    Three pairs of faces: 42, 18, 21. 2 × (42 + 18 + 21) = 162 cm².

  10. 10. 118 cm²

    Three pairs of faces: 35, 10, 14. 2 × (35 + 10 + 14) = 118 cm².

  11. 11. 246 cm²

    Three pairs of faces: 24, 27, 72. 2 × (24 + 27 + 72) = 246 cm².

  12. 12. 210 cm²

    Three pairs of faces: 40, 40, 25. 2 × (40 + 40 + 25) = 210 cm².

Worked examples

Easy example

Find the volume of a cuboid 9 cm × 4 cm × 3 cm.

  1. Volume = length × width × height.
  2. 9 × 4 × 3 = 108 cm³.
  3. Answer: 108 cm³
Medium example

Find the volume of a cuboid 8 cm × 9 cm × 8 cm.

  1. Volume = length × width × height.
  2. 8 × 9 × 8 = 576 cm³.
  3. Answer: 576 cm³
Hard example

Find the surface area of a cuboid 6 cm × 4 cm × 5 cm.

  1. Three pairs of faces: 24, 20, 30.
  2. 2 × (24 + 20 + 30) = 148 cm².
  3. Answer: 148 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.

NATIONAL-CURRICULUM NAT-199.1 — Mapped statement covering Volume of Prisms.IB IB-362.2 — Mapped statement covering Volume of Prisms.

Every free resource for Volume of Prisms

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Frequently asked

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

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