Free Grade 3 Volume of Prisms in Context Lessons
Free Grade 3 lessons 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.
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Stretch
15 min
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.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find the volume of a cuboid 10 cm × 3 cm × 10 cm.[1]
- 2.Find the volume of a cuboid 2 cm × 7 cm × 10 cm.[1]
- 3.Find the volume of a cuboid 10 cm × 3 cm × 9 cm.[1]
- 4.Find the volume of a cuboid 8 cm × 4 cm × 8 cm.[1]
- 5.Find the volume of a cuboid 9 cm × 8 cm × 5 cm.[2]
- 6.Find the volume of a cuboid 7 cm × 8 cm × 6 cm.[2]
- 7.Find the volume of a cuboid 5 cm × 8 cm × 5 cm.[2]
- 8.Find the volume of a cuboid 10 cm × 6 cm × 9 cm.[2]
- 9.Find the surface area of a cuboid 10 cm × 9 cm × 3 cm.[3]
- 10.Find the surface area of a cuboid 7 cm × 7 cm × 3 cm.[3]
- 11.Find the surface area of a cuboid 6 cm × 2 cm × 6 cm.[3]
- 12.Find the surface area of a cuboid 4 cm × 10 cm × 8 cm.[3]
Show answers and working
1. 300 cm³
Volume = length × width × height. 10 × 3 × 10 = 300 cm³.
2. 140 cm³
Volume = length × width × height. 2 × 7 × 10 = 140 cm³.
3. 270 cm³
Volume = length × width × height. 10 × 3 × 9 = 270 cm³.
4. 256 cm³
Volume = length × width × height. 8 × 4 × 8 = 256 cm³.
5. 360 cm³
Volume = length × width × height. 9 × 8 × 5 = 360 cm³.
6. 336 cm³
Volume = length × width × height. 7 × 8 × 6 = 336 cm³.
7. 200 cm³
Volume = length × width × height. 5 × 8 × 5 = 200 cm³.
8. 540 cm³
Volume = length × width × height. 10 × 6 × 9 = 540 cm³.
9. 294 cm²
Three pairs of faces: 90, 27, 30. 2 × (90 + 27 + 30) = 294 cm².
10. 182 cm²
Three pairs of faces: 49, 21, 21. 2 × (49 + 21 + 21) = 182 cm².
11. 120 cm²
Three pairs of faces: 12, 12, 36. 2 × (12 + 12 + 36) = 120 cm².
12. 304 cm²
Three pairs of faces: 40, 80, 32. 2 × (40 + 80 + 32) = 304 cm².
Worked examples
Find the volume of a cuboid 5 cm × 7 cm × 10 cm.
- Volume = length × width × height.
- 5 × 7 × 10 = 350 cm³.
- Answer: 350 cm³
Find the volume of a cuboid 10 cm × 4 cm × 8 cm.
- Volume = length × width × height.
- 10 × 4 × 8 = 320 cm³.
- Answer: 320 cm³
Find the surface area of a cuboid 3 cm × 9 cm × 7 cm.
- Three pairs of faces: 27, 63, 21.
- 2 × (27 + 63 + 21) = 222 cm².
- Answer: 222 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.
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Frequently asked
- Is this Grade 3 Volume of Prisms in Context lesson really free?
- Yes. Every lessons 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 lesson 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.
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