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Free Grade 3 Volume of Prisms Lesson Plans

Free Grade 3 lesson plans for 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

Core

Estimated time

15 min

Total marks

24

Learning objectives

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

  • UnderstandExplain volume of prisms

    Explain volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate volume of prisms

    Calculate volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare volume of prisms

    Compare volume of prisms accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify volume of prisms

    Justify 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 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 × 10 cm × 7 cm.[1]
  2. 2.Find the volume of a cuboid 7 cm × 3 cm × 7 cm.[1]
  3. 3.Find the volume of a cuboid 4 cm × 9 cm × 9 cm.[1]
  4. 4.Find the volume of a cuboid 8 cm × 2 cm × 4 cm.[1]
  5. 5.Find the volume of a cuboid 6 cm × 4 cm × 4 cm.[2]
  6. 6.Find the volume of a cuboid 3 cm × 5 cm × 3 cm.[2]
  7. 7.Find the volume of a cuboid 4 cm × 9 cm × 3 cm.[2]
  8. 8.Find the volume of a cuboid 10 cm × 8 cm × 2 cm.[2]
  9. 9.Find the surface area of a cuboid 3 cm × 9 cm × 4 cm.[3]
  10. 10.Find the surface area of a cuboid 9 cm × 8 cm × 8 cm.[3]
  11. 11.Find the surface area of a cuboid 10 cm × 2 cm × 8 cm.[3]
  12. 12.Find the surface area of a cuboid 7 cm × 4 cm × 4 cm.[3]
Show answers and working
  1. 1. 140 cm³

    Volume = length × width × height. 2 × 10 × 7 = 140 cm³.

  2. 2. 147 cm³

    Volume = length × width × height. 7 × 3 × 7 = 147 cm³.

  3. 3. 324 cm³

    Volume = length × width × height. 4 × 9 × 9 = 324 cm³.

  4. 4. 64 cm³

    Volume = length × width × height. 8 × 2 × 4 = 64 cm³.

  5. 5. 96 cm³

    Volume = length × width × height. 6 × 4 × 4 = 96 cm³.

  6. 6. 45 cm³

    Volume = length × width × height. 3 × 5 × 3 = 45 cm³.

  7. 7. 108 cm³

    Volume = length × width × height. 4 × 9 × 3 = 108 cm³.

  8. 8. 160 cm³

    Volume = length × width × height. 10 × 8 × 2 = 160 cm³.

  9. 9. 150 cm²

    Three pairs of faces: 27, 36, 12. 2 × (27 + 36 + 12) = 150 cm².

  10. 10. 416 cm²

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

  11. 11. 232 cm²

    Three pairs of faces: 20, 16, 80. 2 × (20 + 16 + 80) = 232 cm².

  12. 12. 144 cm²

    Three pairs of faces: 28, 16, 28. 2 × (28 + 16 + 28) = 144 cm².

Worked examples

Easy example

Find the volume of a cuboid 4 cm × 4 cm × 6 cm.

  1. Volume = length × width × height.
  2. 4 × 4 × 6 = 96 cm³.
  3. Answer: 96 cm³
Medium example

Find the volume of a cuboid 2 cm × 2 cm × 5 cm.

  1. Volume = length × width × height.
  2. 2 × 2 × 5 = 20 cm³.
  3. Answer: 20 cm³
Hard example

Find the surface area of a cuboid 6 cm × 3 cm × 9 cm.

  1. Three pairs of faces: 18, 27, 54.
  2. 2 × (18 + 27 + 54) = 198 cm².
  3. Answer: 198 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.

NATIONAL-CURRICULUM NAT-199.1 — Mapped statement covering Volume of Prisms.IB IB-362.2 — Mapped statement covering Volume of Prisms.

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Frequently asked

Is this Grade 3 Volume of Prisms 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 Surface Area, Nets, Perimeter and Area. 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 Volume of Prisms?
Move on to Volume of Cylinders, Volume of Spheres, Angles, 2D Shapes, which build directly on this idea.

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