Free Grade 3 Volume of Prisms Lessons
Free Grade 3 lessons 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.
Free
Stretch
30 min
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.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find the volume of a cuboid 3 cm × 9 cm × 9 cm.[1]
- 2.Find the volume of a cuboid 4 cm × 7 cm × 5 cm.[1]
- 3.Find the volume of a cuboid 8 cm × 5 cm × 6 cm.[1]
- 4.Find the volume of a cuboid 8 cm × 3 cm × 8 cm.[1]
- 5.Find the volume of a cuboid 2 cm × 3 cm × 9 cm.[2]
- 6.Find the volume of a cuboid 3 cm × 8 cm × 8 cm.[2]
- 7.Find the volume of a cuboid 8 cm × 6 cm × 3 cm.[2]
- 8.Find the volume of a cuboid 9 cm × 7 cm × 7 cm.[2]
- 9.Find the surface area of a cuboid 8 cm × 2 cm × 9 cm.[3]
- 10.Find the surface area of a cuboid 7 cm × 6 cm × 2 cm.[3]
- 11.Find the surface area of a cuboid 3 cm × 10 cm × 5 cm.[3]
- 12.Find the surface area of a cuboid 8 cm × 4 cm × 9 cm.[3]
Show answers and working
1. 243 cm³
Volume = length × width × height. 3 × 9 × 9 = 243 cm³.
2. 140 cm³
Volume = length × width × height. 4 × 7 × 5 = 140 cm³.
3. 240 cm³
Volume = length × width × height. 8 × 5 × 6 = 240 cm³.
4. 192 cm³
Volume = length × width × height. 8 × 3 × 8 = 192 cm³.
5. 54 cm³
Volume = length × width × height. 2 × 3 × 9 = 54 cm³.
6. 192 cm³
Volume = length × width × height. 3 × 8 × 8 = 192 cm³.
7. 144 cm³
Volume = length × width × height. 8 × 6 × 3 = 144 cm³.
8. 441 cm³
Volume = length × width × height. 9 × 7 × 7 = 441 cm³.
9. 212 cm²
Three pairs of faces: 16, 18, 72. 2 × (16 + 18 + 72) = 212 cm².
10. 136 cm²
Three pairs of faces: 42, 12, 14. 2 × (42 + 12 + 14) = 136 cm².
11. 190 cm²
Three pairs of faces: 30, 50, 15. 2 × (30 + 50 + 15) = 190 cm².
12. 280 cm²
Three pairs of faces: 32, 36, 72. 2 × (32 + 36 + 72) = 280 cm².
Worked examples
Find the volume of a cuboid 7 cm × 3 cm × 8 cm.
- Volume = length × width × height.
- 7 × 3 × 8 = 168 cm³.
- Answer: 168 cm³
Find the volume of a cuboid 5 cm × 9 cm × 2 cm.
- Volume = length × width × height.
- 5 × 9 × 2 = 90 cm³.
- Answer: 90 cm³
Find the surface area of a cuboid 10 cm × 2 cm × 5 cm.
- Three pairs of faces: 20, 10, 50.
- 2 × (20 + 10 + 50) = 160 cm².
- Answer: 160 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.
Every free resource for Volume of Prisms
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Frequently asked
- Is this Grade 3 Volume of Prisms 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 Surface Area, Nets, Perimeter and 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?
- Move on to Volume of Cylinders, Volume of Spheres, Angles, 2D Shapes, which build directly on this idea.
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