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Free Grade 3 3D Shapes Lesson Plans

Free Grade 3 lesson plans 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

Stretch

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 3 cm × 4 cm × 5 cm.[1]
  2. 2.Find the volume of a cuboid 6 cm × 5 cm × 8 cm.[1]
  3. 3.Find the volume of a cuboid 3 cm × 2 cm × 6 cm.[1]
  4. 4.Find the volume of a cuboid 9 cm × 3 cm × 10 cm.[1]
  5. 5.Find the volume of a cuboid 2 cm × 5 cm × 9 cm.[2]
  6. 6.Find the volume of a cuboid 6 cm × 9 cm × 10 cm.[2]
  7. 7.Find the volume of a cuboid 9 cm × 10 cm × 7 cm.[2]
  8. 8.Find the volume of a cuboid 2 cm × 4 cm × 4 cm.[2]
  9. 9.Find the surface area of a cuboid 9 cm × 8 cm × 8 cm.[3]
  10. 10.Find the surface area of a cuboid 9 cm × 3 cm × 7 cm.[3]
  11. 11.Find the surface area of a cuboid 10 cm × 5 cm × 3 cm.[3]
  12. 12.Find the surface area of a cuboid 3 cm × 6 cm × 3 cm.[3]
Show answers and working
  1. 1. 60 cm³

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

  2. 2. 240 cm³

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

  3. 3. 36 cm³

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

  4. 4. 270 cm³

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

  5. 5. 90 cm³

    Volume = length × width × height. 2 × 5 × 9 = 90 cm³.

  6. 6. 540 cm³

    Volume = length × width × height. 6 × 9 × 10 = 540 cm³.

  7. 7. 630 cm³

    Volume = length × width × height. 9 × 10 × 7 = 630 cm³.

  8. 8. 32 cm³

    Volume = length × width × height. 2 × 4 × 4 = 32 cm³.

  9. 9. 416 cm²

    Three pairs of faces: 72, 64, 72. 2 × (72 + 64 + 72) = 416 cm².

  10. 10. 222 cm²

    Three pairs of faces: 27, 21, 63. 2 × (27 + 21 + 63) = 222 cm².

  11. 11. 190 cm²

    Three pairs of faces: 50, 15, 30. 2 × (50 + 15 + 30) = 190 cm².

  12. 12. 90 cm²

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

Worked examples

Easy example

Find the volume of a cuboid 4 cm × 9 cm × 8 cm.

  1. Volume = length × width × height.
  2. 4 × 9 × 8 = 288 cm³.
  3. Answer: 288 cm³
Medium example

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

  1. Volume = length × width × height.
  2. 3 × 7 × 3 = 63 cm³.
  3. Answer: 63 cm³
Hard example

Find the surface area of a cuboid 3 cm × 8 cm × 4 cm.

  1. Three pairs of faces: 24, 32, 12.
  2. 2 × (24 + 32 + 12) = 136 cm².
  3. Answer: 136 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.

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

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Frequently asked

Is this Grade 3 3D Shapes lesson plan really free?
Yes. Every lesson plans 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 lesson plan 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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