Free Grade 3 Working with Volume of Cylinders Lessons
Free Grade 3 lessons for Working with Volume of Cylinders: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with volume of cylinders
Identify working with volume of cylinders accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with volume of cylinders
Explain working with volume of cylinders accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with volume of cylinders
Calculate working with volume of cylinders accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with volume of cylinders
Compare working with volume of cylinders 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 Working with Volume of Cylinders 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 5 cm × 2 cm × 7 cm.[1]
- 2.Find the volume of a cuboid 3 cm × 2 cm × 2 cm.[1]
- 3.Find the volume of a cuboid 3 cm × 9 cm × 6 cm.[1]
- 4.Find the volume of a cuboid 7 cm × 9 cm × 8 cm.[1]
- 5.Find the volume of a cuboid 5 cm × 8 cm × 6 cm.[2]
- 6.Find the volume of a cuboid 4 cm × 2 cm × 5 cm.[2]
- 7.Find the volume of a cuboid 2 cm × 10 cm × 3 cm.[2]
- 8.Find the volume of a cuboid 10 cm × 8 cm × 10 cm.[2]
- 9.Find the surface area of a cuboid 6 cm × 9 cm × 2 cm.[3]
- 10.Find the surface area of a cuboid 6 cm × 10 cm × 8 cm.[3]
- 11.Find the surface area of a cuboid 9 cm × 3 cm × 6 cm.[3]
- 12.Find the surface area of a cuboid 8 cm × 10 cm × 10 cm.[3]
Show answers and working
1. 70 cm³
Volume = length × width × height. 5 × 2 × 7 = 70 cm³.
2. 12 cm³
Volume = length × width × height. 3 × 2 × 2 = 12 cm³.
3. 162 cm³
Volume = length × width × height. 3 × 9 × 6 = 162 cm³.
4. 504 cm³
Volume = length × width × height. 7 × 9 × 8 = 504 cm³.
5. 240 cm³
Volume = length × width × height. 5 × 8 × 6 = 240 cm³.
6. 40 cm³
Volume = length × width × height. 4 × 2 × 5 = 40 cm³.
7. 60 cm³
Volume = length × width × height. 2 × 10 × 3 = 60 cm³.
8. 800 cm³
Volume = length × width × height. 10 × 8 × 10 = 800 cm³.
9. 168 cm²
Three pairs of faces: 54, 18, 12. 2 × (54 + 18 + 12) = 168 cm².
10. 376 cm²
Three pairs of faces: 60, 80, 48. 2 × (60 + 80 + 48) = 376 cm².
11. 198 cm²
Three pairs of faces: 27, 18, 54. 2 × (27 + 18 + 54) = 198 cm².
12. 520 cm²
Three pairs of faces: 80, 100, 80. 2 × (80 + 100 + 80) = 520 cm².
Worked examples
Find the volume of a cuboid 8 cm × 7 cm × 5 cm.
- Volume = length × width × height.
- 8 × 7 × 5 = 280 cm³.
- Answer: 280 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 3 cm × 2 cm × 3 cm.
- Three pairs of faces: 6, 6, 9.
- 2 × (6 + 6 + 9) = 42 cm².
- Answer: 42 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 Working with Volume of Cylinders
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Frequently asked
- Is this Grade 3 Working with Volume of Cylinders 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 Introducing Volume of Cylinders, Volume of Prisms. 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 Working with Volume of Cylinders?
- Move on to Volume of Cylinders in Context, Nets, Surface Area, Volume of Prisms, which build directly on this idea.
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