Free Grade 3 Volume of Spheres in Context Lessons
Free Grade 3 lessons for Volume of Spheres 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.
Free
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain volume of spheres in context
Explain volume of spheres in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate volume of spheres in context
Calculate volume of spheres in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare volume of spheres in context
Compare volume of spheres in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify volume of spheres in context
Justify volume of spheres 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 Spheres 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 6 cm × 7 cm × 7 cm.[1]
- 2.Find the volume of a cuboid 6 cm × 3 cm × 7 cm.[1]
- 3.Find the volume of a cuboid 7 cm × 5 cm × 2 cm.[1]
- 4.Find the volume of a cuboid 7 cm × 8 cm × 4 cm.[1]
- 5.Find the volume of a cuboid 8 cm × 5 cm × 9 cm.[2]
- 6.Find the volume of a cuboid 5 cm × 2 cm × 8 cm.[2]
- 7.Find the volume of a cuboid 7 cm × 9 cm × 10 cm.[2]
- 8.Find the volume of a cuboid 10 cm × 7 cm × 4 cm.[2]
- 9.Find the surface area of a cuboid 2 cm × 8 cm × 8 cm.[3]
- 10.Find the surface area of a cuboid 4 cm × 7 cm × 4 cm.[3]
- 11.Find the surface area of a cuboid 3 cm × 8 cm × 10 cm.[3]
- 12.Find the surface area of a cuboid 3 cm × 5 cm × 9 cm.[3]
Show answers and working
1. 294 cm³
Volume = length × width × height. 6 × 7 × 7 = 294 cm³.
2. 126 cm³
Volume = length × width × height. 6 × 3 × 7 = 126 cm³.
3. 70 cm³
Volume = length × width × height. 7 × 5 × 2 = 70 cm³.
4. 224 cm³
Volume = length × width × height. 7 × 8 × 4 = 224 cm³.
5. 360 cm³
Volume = length × width × height. 8 × 5 × 9 = 360 cm³.
6. 80 cm³
Volume = length × width × height. 5 × 2 × 8 = 80 cm³.
7. 630 cm³
Volume = length × width × height. 7 × 9 × 10 = 630 cm³.
8. 280 cm³
Volume = length × width × height. 10 × 7 × 4 = 280 cm³.
9. 192 cm²
Three pairs of faces: 16, 64, 16. 2 × (16 + 64 + 16) = 192 cm².
10. 144 cm²
Three pairs of faces: 28, 28, 16. 2 × (28 + 28 + 16) = 144 cm².
11. 268 cm²
Three pairs of faces: 24, 80, 30. 2 × (24 + 80 + 30) = 268 cm².
12. 174 cm²
Three pairs of faces: 15, 45, 27. 2 × (15 + 45 + 27) = 174 cm².
Worked examples
Find the volume of a cuboid 3 cm × 3 cm × 9 cm.
- Volume = length × width × height.
- 3 × 3 × 9 = 81 cm³.
- Answer: 81 cm³
Find the volume of a cuboid 4 cm × 6 cm × 4 cm.
- Volume = length × width × height.
- 4 × 6 × 4 = 96 cm³.
- Answer: 96 cm³
Find the surface area of a cuboid 4 cm × 8 cm × 8 cm.
- Three pairs of faces: 32, 64, 32.
- 2 × (32 + 64 + 32) = 256 cm².
- 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.
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Frequently asked
- Is this Grade 3 Volume of Spheres 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 Spheres, Introducing Volume of Spheres, Volume of Cylinders. 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 Spheres in Context?
- Move on to Nets, Surface Area, Volume of Prisms, Volume of Cylinders, which build directly on this idea.
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