FreeMathWorksheet
Free · Grade 3 · Worksheets

Free Grade 3 Volume of Prisms in Context Worksheets

Free Grade 3 worksheets for Volume of Prisms in Context: 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

25 min

Total marks

24

Learning objectives

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

  • UnderstandExplain volume of prisms in context

    Explain volume of prisms in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate volume of prisms in context

    Calculate volume of prisms in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare volume of prisms in context

    Compare volume of prisms in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify volume of prisms in context

    Justify volume of prisms in context 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 in Context 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 × 4 cm × 2 cm.[1]
  2. 2.Find the volume of a cuboid 2 cm × 10 cm × 7 cm.[1]
  3. 3.Find the volume of a cuboid 4 cm × 9 cm × 5 cm.[1]
  4. 4.Find the volume of a cuboid 7 cm × 7 cm × 3 cm.[1]
  5. 5.Find the volume of a cuboid 9 cm × 7 cm × 5 cm.[2]
  6. 6.Find the volume of a cuboid 2 cm × 3 cm × 5 cm.[2]
  7. 7.Find the volume of a cuboid 7 cm × 5 cm × 7 cm.[2]
  8. 8.Find the volume of a cuboid 10 cm × 2 cm × 8 cm.[2]
  9. 9.Find the surface area of a cuboid 7 cm × 8 cm × 10 cm.[3]
  10. 10.Find the surface area of a cuboid 6 cm × 10 cm × 4 cm.[3]
  11. 11.Find the surface area of a cuboid 2 cm × 4 cm × 10 cm.[3]
  12. 12.Find the surface area of a cuboid 5 cm × 4 cm × 2 cm.[3]
Show answers and working
  1. 1. 16 cm³

    Volume = length × width × height. 2 × 4 × 2 = 16 cm³.

  2. 2. 140 cm³

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

  3. 3. 180 cm³

    Volume = length × width × height. 4 × 9 × 5 = 180 cm³.

  4. 4. 147 cm³

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

  5. 5. 315 cm³

    Volume = length × width × height. 9 × 7 × 5 = 315 cm³.

  6. 6. 30 cm³

    Volume = length × width × height. 2 × 3 × 5 = 30 cm³.

  7. 7. 245 cm³

    Volume = length × width × height. 7 × 5 × 7 = 245 cm³.

  8. 8. 160 cm³

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

  9. 9. 412 cm²

    Three pairs of faces: 56, 80, 70. 2 × (56 + 80 + 70) = 412 cm².

  10. 10. 248 cm²

    Three pairs of faces: 60, 40, 24. 2 × (60 + 40 + 24) = 248 cm².

  11. 11. 136 cm²

    Three pairs of faces: 8, 40, 20. 2 × (8 + 40 + 20) = 136 cm².

  12. 12. 76 cm²

    Three pairs of faces: 20, 8, 10. 2 × (20 + 8 + 10) = 76 cm².

Worked examples

Easy example

Find the volume of a cuboid 5 cm × 3 cm × 7 cm.

  1. Volume = length × width × height.
  2. 5 × 3 × 7 = 105 cm³.
  3. Answer: 105 cm³
Medium example

Find the volume of a cuboid 10 cm × 3 cm × 3 cm.

  1. Volume = length × width × height.
  2. 10 × 3 × 3 = 90 cm³.
  3. Answer: 90 cm³
Hard example

Find the surface area of a cuboid 2 cm × 9 cm × 10 cm.

  1. Three pairs of faces: 18, 90, 20.
  2. 2 × (18 + 90 + 20) = 256 cm².
  3. Answer: 256 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-517.1 — Mapped statement covering Volume of Prisms in Context.AQA AQA-140.2 — Mapped statement covering Volume of Prisms in Context.

Every free resource for Volume of Prisms in Context

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

Related concepts

Lateral links, including across subjects.

Next topics

All free formats for this concept

Every kind below is a real page, generated from this entity.

Frequently asked

Is this Grade 3 Volume of Prisms in Context worksheet really free?
Yes. Every worksheets 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 Working with Volume of Prisms, Introducing Volume of Prisms, Surface Area. Each one has its own free lesson, worksheet and quiz.
How is the worksheet 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 in Context?
Move on to Nets, Surface Area, Volume of Cylinders, Volume of Spheres, which build directly on this idea.

Related resources

Free AI Tutor

Stuck on Volume of Prisms in Context? The AI Tutor already knows this page, its prerequisites and its common mistakes.

Open the free AI Tutor