Free Grade 3 Introducing Volume of Prisms Lessons
Free Grade 3 lessons for Introducing 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing volume of prisms
Identify introducing volume of prisms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing volume of prisms
Explain introducing volume of prisms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing volume of prisms
Calculate introducing volume of prisms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing volume of prisms
Compare introducing 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 Introducing 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 2 cm × 8 cm × 6 cm.[1]
- 2.Find the volume of a cuboid 9 cm × 9 cm × 6 cm.[1]
- 3.Find the volume of a cuboid 6 cm × 5 cm × 9 cm.[1]
- 4.Find the volume of a cuboid 7 cm × 4 cm × 3 cm.[1]
- 5.Find the volume of a cuboid 2 cm × 3 cm × 6 cm.[2]
- 6.Find the volume of a cuboid 10 cm × 3 cm × 6 cm.[2]
- 7.Find the volume of a cuboid 8 cm × 3 cm × 8 cm.[2]
- 8.Find the volume of a cuboid 10 cm × 5 cm × 5 cm.[2]
- 9.Find the surface area of a cuboid 4 cm × 4 cm × 2 cm.[3]
- 10.Find the surface area of a cuboid 8 cm × 4 cm × 2 cm.[3]
- 11.Find the surface area of a cuboid 5 cm × 2 cm × 8 cm.[3]
- 12.Find the surface area of a cuboid 6 cm × 3 cm × 8 cm.[3]
Show answers and working
1. 96 cm³
Volume = length × width × height. 2 × 8 × 6 = 96 cm³.
2. 486 cm³
Volume = length × width × height. 9 × 9 × 6 = 486 cm³.
3. 270 cm³
Volume = length × width × height. 6 × 5 × 9 = 270 cm³.
4. 84 cm³
Volume = length × width × height. 7 × 4 × 3 = 84 cm³.
5. 36 cm³
Volume = length × width × height. 2 × 3 × 6 = 36 cm³.
6. 180 cm³
Volume = length × width × height. 10 × 3 × 6 = 180 cm³.
7. 192 cm³
Volume = length × width × height. 8 × 3 × 8 = 192 cm³.
8. 250 cm³
Volume = length × width × height. 10 × 5 × 5 = 250 cm³.
9. 64 cm²
Three pairs of faces: 16, 8, 8. 2 × (16 + 8 + 8) = 64 cm².
10. 112 cm²
Three pairs of faces: 32, 8, 16. 2 × (32 + 8 + 16) = 112 cm².
11. 132 cm²
Three pairs of faces: 10, 16, 40. 2 × (10 + 16 + 40) = 132 cm².
12. 180 cm²
Three pairs of faces: 18, 24, 48. 2 × (18 + 24 + 48) = 180 cm².
Worked examples
Find the volume of a cuboid 4 cm × 9 cm × 6 cm.
- Volume = length × width × height.
- 4 × 9 × 6 = 216 cm³.
- Answer: 216 cm³
Find the volume of a cuboid 2 cm × 8 cm × 5 cm.
- Volume = length × width × height.
- 2 × 8 × 5 = 80 cm³.
- Answer: 80 cm³
Find the surface area of a cuboid 10 cm × 4 cm × 5 cm.
- Three pairs of faces: 40, 20, 50.
- 2 × (40 + 20 + 50) = 220 cm².
- Answer: 220 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
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Frequently asked
- Is this Grade 3 Introducing 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. 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 Introducing Volume of Prisms?
- Move on to Working with Volume of Prisms, Volume of Prisms in Context, Nets, Surface Area, which build directly on this idea.
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