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Free Grade 3 Working with Volume of Prisms Worksheets

Free Grade 3 worksheets for Working with 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

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 working with volume of prisms

    Identify working with volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with volume of prisms

    Explain working with volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with volume of prisms

    Calculate working with volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with volume of prisms

    Compare working with 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 Working with 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 2 cm × 3 cm × 6 cm.[1]
  2. 2.Find the volume of a cuboid 2 cm × 2 cm × 9 cm.[1]
  3. 3.Find the volume of a cuboid 2 cm × 2 cm × 4 cm.[1]
  4. 4.Find the volume of a cuboid 8 cm × 6 cm × 4 cm.[1]
  5. 5.Find the volume of a cuboid 6 cm × 4 cm × 5 cm.[2]
  6. 6.Find the volume of a cuboid 7 cm × 8 cm × 6 cm.[2]
  7. 7.Find the volume of a cuboid 5 cm × 4 cm × 3 cm.[2]
  8. 8.Find the volume of a cuboid 10 cm × 7 cm × 7 cm.[2]
  9. 9.Find the surface area of a cuboid 5 cm × 7 cm × 8 cm.[3]
  10. 10.Find the surface area of a cuboid 8 cm × 8 cm × 3 cm.[3]
  11. 11.Find the surface area of a cuboid 10 cm × 7 cm × 4 cm.[3]
  12. 12.Find the surface area of a cuboid 3 cm × 2 cm × 2 cm.[3]
Show answers and working
  1. 1. 36 cm³

    Volume = length × width × height. 2 × 3 × 6 = 36 cm³.

  2. 2. 36 cm³

    Volume = length × width × height. 2 × 2 × 9 = 36 cm³.

  3. 3. 16 cm³

    Volume = length × width × height. 2 × 2 × 4 = 16 cm³.

  4. 4. 192 cm³

    Volume = length × width × height. 8 × 6 × 4 = 192 cm³.

  5. 5. 120 cm³

    Volume = length × width × height. 6 × 4 × 5 = 120 cm³.

  6. 6. 336 cm³

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

  7. 7. 60 cm³

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

  8. 8. 490 cm³

    Volume = length × width × height. 10 × 7 × 7 = 490 cm³.

  9. 9. 262 cm²

    Three pairs of faces: 35, 56, 40. 2 × (35 + 56 + 40) = 262 cm².

  10. 10. 224 cm²

    Three pairs of faces: 64, 24, 24. 2 × (64 + 24 + 24) = 224 cm².

  11. 11. 276 cm²

    Three pairs of faces: 70, 28, 40. 2 × (70 + 28 + 40) = 276 cm².

  12. 12. 32 cm²

    Three pairs of faces: 6, 4, 6. 2 × (6 + 4 + 6) = 32 cm².

Worked examples

Easy example

Find the volume of a cuboid 3 cm × 2 cm × 4 cm.

  1. Volume = length × width × height.
  2. 3 × 2 × 4 = 24 cm³.
  3. Answer: 24 cm³
Medium 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
Hard example

Find the surface area of a cuboid 5 cm × 8 cm × 3 cm.

  1. Three pairs of faces: 40, 24, 15.
  2. 2 × (40 + 24 + 15) = 158 cm².
  3. Answer: 158 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.

COMMON-CORE COM-655.1 — Mapped statement covering Working with Volume of Prisms.OCR OCR-314.2 — Mapped statement covering Working with Volume of Prisms.

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Frequently asked

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

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