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Free Grade 3 Working with Surface Area Quizzes

Free Grade 3 quizzes for Working with Surface Area: 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

Stretch

Estimated time

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with surface area

    Identify working with surface area accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with surface area

    Explain working with surface area accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with surface area

    Calculate working with surface area accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with surface area

    Compare working with surface area 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 Surface Area 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 8 cm × 4 cm × 10 cm.[1]
  2. 2.Find the volume of a cuboid 5 cm × 2 cm × 6 cm.[1]
  3. 3.Find the volume of a cuboid 10 cm × 10 cm × 8 cm.[1]
  4. 4.Find the volume of a cuboid 6 cm × 2 cm × 3 cm.[1]
  5. 5.Find the volume of a cuboid 6 cm × 9 cm × 5 cm.[2]
  6. 6.Find the volume of a cuboid 5 cm × 2 cm × 4 cm.[2]
  7. 7.Find the volume of a cuboid 9 cm × 2 cm × 9 cm.[2]
  8. 8.Find the volume of a cuboid 5 cm × 8 cm × 10 cm.[2]
  9. 9.Find the surface area of a cuboid 9 cm × 7 cm × 5 cm.[3]
  10. 10.Find the surface area of a cuboid 3 cm × 5 cm × 3 cm.[3]
  11. 11.Find the surface area of a cuboid 7 cm × 8 cm × 9 cm.[3]
  12. 12.Find the surface area of a cuboid 9 cm × 9 cm × 7 cm.[3]
Show answers and working
  1. 1. 320 cm³

    Volume = length × width × height. 8 × 4 × 10 = 320 cm³.

  2. 2. 60 cm³

    Volume = length × width × height. 5 × 2 × 6 = 60 cm³.

  3. 3. 800 cm³

    Volume = length × width × height. 10 × 10 × 8 = 800 cm³.

  4. 4. 36 cm³

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

  5. 5. 270 cm³

    Volume = length × width × height. 6 × 9 × 5 = 270 cm³.

  6. 6. 40 cm³

    Volume = length × width × height. 5 × 2 × 4 = 40 cm³.

  7. 7. 162 cm³

    Volume = length × width × height. 9 × 2 × 9 = 162 cm³.

  8. 8. 400 cm³

    Volume = length × width × height. 5 × 8 × 10 = 400 cm³.

  9. 9. 286 cm²

    Three pairs of faces: 63, 35, 45. 2 × (63 + 35 + 45) = 286 cm².

  10. 10. 78 cm²

    Three pairs of faces: 15, 15, 9. 2 × (15 + 15 + 9) = 78 cm².

  11. 11. 382 cm²

    Three pairs of faces: 56, 72, 63. 2 × (56 + 72 + 63) = 382 cm².

  12. 12. 414 cm²

    Three pairs of faces: 81, 63, 63. 2 × (81 + 63 + 63) = 414 cm².

Worked examples

Easy example

Find the volume of a cuboid 7 cm × 4 cm × 3 cm.

  1. Volume = length × width × height.
  2. 7 × 4 × 3 = 84 cm³.
  3. Answer: 84 cm³
Medium example

Find the volume of a cuboid 7 cm × 3 cm × 4 cm.

  1. Volume = length × width × height.
  2. 7 × 3 × 4 = 84 cm³.
  3. Answer: 84 cm³
Hard example

Find the surface area of a cuboid 3 cm × 8 cm × 9 cm.

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

CBSE CBS-807.1 — Mapped statement covering Working with Surface Area.COLLEGE-BOARD COL-994.2 — Mapped statement covering Working with Surface Area.

Every free resource for Working with Surface Area

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Frequently asked

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

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