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Free Grade 3 3D Shapes Quizzes

Free Grade 3 quizzes for 3D Shapes: 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

25 min

Total marks

24

Learning objectives

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

  • UnderstandExplain 3d shapes

    Explain 3d shapes accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate 3d shapes

    Calculate 3d shapes accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare 3d shapes

    Compare 3d shapes accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify 3d shapes

    Justify 3d shapes 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 3D Shapes 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 × 10 cm × 7 cm.[1]
  2. 2.Find the volume of a cuboid 4 cm × 4 cm × 4 cm.[1]
  3. 3.Find the volume of a cuboid 5 cm × 7 cm × 6 cm.[1]
  4. 4.Find the volume of a cuboid 5 cm × 5 cm × 7 cm.[1]
  5. 5.Find the volume of a cuboid 4 cm × 3 cm × 5 cm.[2]
  6. 6.Find the volume of a cuboid 5 cm × 5 cm × 2 cm.[2]
  7. 7.Find the volume of a cuboid 5 cm × 8 cm × 6 cm.[2]
  8. 8.Find the volume of a cuboid 7 cm × 8 cm × 4 cm.[2]
  9. 9.Find the surface area of a cuboid 7 cm × 10 cm × 9 cm.[3]
  10. 10.Find the surface area of a cuboid 3 cm × 3 cm × 6 cm.[3]
  11. 11.Find the surface area of a cuboid 9 cm × 3 cm × 10 cm.[3]
  12. 12.Find the surface area of a cuboid 10 cm × 4 cm × 5 cm.[3]
Show answers and working
  1. 1. 420 cm³

    Volume = length × width × height. 6 × 10 × 7 = 420 cm³.

  2. 2. 64 cm³

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

  3. 3. 210 cm³

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

  4. 4. 175 cm³

    Volume = length × width × height. 5 × 5 × 7 = 175 cm³.

  5. 5. 60 cm³

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

  6. 6. 50 cm³

    Volume = length × width × height. 5 × 5 × 2 = 50 cm³.

  7. 7. 240 cm³

    Volume = length × width × height. 5 × 8 × 6 = 240 cm³.

  8. 8. 224 cm³

    Volume = length × width × height. 7 × 8 × 4 = 224 cm³.

  9. 9. 446 cm²

    Three pairs of faces: 70, 90, 63. 2 × (70 + 90 + 63) = 446 cm².

  10. 10. 90 cm²

    Three pairs of faces: 9, 18, 18. 2 × (9 + 18 + 18) = 90 cm².

  11. 11. 294 cm²

    Three pairs of faces: 27, 30, 90. 2 × (27 + 30 + 90) = 294 cm².

  12. 12. 220 cm²

    Three pairs of faces: 40, 20, 50. 2 × (40 + 20 + 50) = 220 cm².

Worked examples

Easy example

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

  1. Volume = length × width × height.
  2. 9 × 9 × 8 = 648 cm³.
  3. Answer: 648 cm³
Medium example

Find the volume of a cuboid 10 cm × 4 cm × 10 cm.

  1. Volume = length × width × height.
  2. 10 × 4 × 10 = 400 cm³.
  3. Answer: 400 cm³
Hard example

Find the surface area of a cuboid 2 cm × 10 cm × 2 cm.

  1. Three pairs of faces: 20, 20, 4.
  2. 2 × (20 + 20 + 4) = 88 cm².
  3. Answer: 88 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.

COLLEGE-BOARD COL-685.1 — Mapped statement covering 3D Shapes.AQA AQA-960.2 — Mapped statement covering 3D Shapes.

Every free resource for 3D Shapes

One concept, one ecosystem — all of it free.

Goes deeper

The entities below this one, each with the same complete free resource set.

Sibling concepts

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Frequently asked

Is this Grade 3 3D Shapes 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 Perimeter and Area, 2D Shapes, Algebra. 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 3D Shapes?
Move on to Transformations, Constructions, Number Sense, Algebra, which build directly on this idea.

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