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Free Grade 3 Introducing Surface Area Quizzes

Free Grade 3 quizzes for Introducing 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

Core

Estimated time

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing surface area

    Identify introducing surface area accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing surface area

    Explain introducing surface area accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing surface area

    Calculate introducing surface area accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing surface area

    Compare introducing 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 Introducing 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 10 cm × 7 cm × 5 cm.[1]
  2. 2.Find the volume of a cuboid 4 cm × 10 cm × 8 cm.[1]
  3. 3.Find the volume of a cuboid 2 cm × 9 cm × 2 cm.[1]
  4. 4.Find the volume of a cuboid 2 cm × 4 cm × 7 cm.[1]
  5. 5.Find the volume of a cuboid 10 cm × 10 cm × 9 cm.[2]
  6. 6.Find the volume of a cuboid 8 cm × 5 cm × 6 cm.[2]
  7. 7.Find the volume of a cuboid 10 cm × 6 cm × 3 cm.[2]
  8. 8.Find the volume of a cuboid 2 cm × 9 cm × 4 cm.[2]
  9. 9.Find the surface area of a cuboid 7 cm × 6 cm × 6 cm.[3]
  10. 10.Find the surface area of a cuboid 5 cm × 10 cm × 2 cm.[3]
  11. 11.Find the surface area of a cuboid 5 cm × 4 cm × 5 cm.[3]
  12. 12.Find the surface area of a cuboid 7 cm × 4 cm × 5 cm.[3]
Show answers and working
  1. 1. 350 cm³

    Volume = length × width × height. 10 × 7 × 5 = 350 cm³.

  2. 2. 320 cm³

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

  3. 3. 36 cm³

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

  4. 4. 56 cm³

    Volume = length × width × height. 2 × 4 × 7 = 56 cm³.

  5. 5. 900 cm³

    Volume = length × width × height. 10 × 10 × 9 = 900 cm³.

  6. 6. 240 cm³

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

  7. 7. 180 cm³

    Volume = length × width × height. 10 × 6 × 3 = 180 cm³.

  8. 8. 72 cm³

    Volume = length × width × height. 2 × 9 × 4 = 72 cm³.

  9. 9. 240 cm²

    Three pairs of faces: 42, 36, 42. 2 × (42 + 36 + 42) = 240 cm².

  10. 10. 160 cm²

    Three pairs of faces: 50, 20, 10. 2 × (50 + 20 + 10) = 160 cm².

  11. 11. 130 cm²

    Three pairs of faces: 20, 20, 25. 2 × (20 + 20 + 25) = 130 cm².

  12. 12. 166 cm²

    Three pairs of faces: 28, 20, 35. 2 × (28 + 20 + 35) = 166 cm².

Worked examples

Easy example

Find the volume of a cuboid 5 cm × 7 cm × 7 cm.

  1. Volume = length × width × height.
  2. 5 × 7 × 7 = 245 cm³.
  3. Answer: 245 cm³
Medium example

Find the volume of a cuboid 9 cm × 4 cm × 10 cm.

  1. Volume = length × width × height.
  2. 9 × 4 × 10 = 360 cm³.
  3. Answer: 360 cm³
Hard example

Find the surface area of a cuboid 2 cm × 8 cm × 10 cm.

  1. Three pairs of faces: 16, 80, 20.
  2. 2 × (16 + 80 + 20) = 232 cm².
  3. Answer: 232 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-197.1 — Mapped statement covering Introducing Surface Area.COLLEGE-BOARD COL-966.2 — Mapped statement covering Introducing Surface Area.

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Frequently asked

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

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