Free Grade 3 Introducing Volume of Spheres Lessons
Free Grade 3 lessons for Introducing Volume of Spheres: 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing volume of spheres
Identify introducing volume of spheres accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing volume of spheres
Explain introducing volume of spheres accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing volume of spheres
Calculate introducing volume of spheres accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing volume of spheres
Compare introducing volume of spheres 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 Spheres 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 7 cm × 9 cm × 3 cm.[1]
- 2.Find the volume of a cuboid 4 cm × 10 cm × 6 cm.[1]
- 3.Find the volume of a cuboid 2 cm × 10 cm × 9 cm.[1]
- 4.Find the volume of a cuboid 10 cm × 9 cm × 10 cm.[1]
- 5.Find the volume of a cuboid 10 cm × 5 cm × 3 cm.[2]
- 6.Find the volume of a cuboid 6 cm × 8 cm × 5 cm.[2]
- 7.Find the volume of a cuboid 3 cm × 2 cm × 2 cm.[2]
- 8.Find the volume of a cuboid 2 cm × 7 cm × 10 cm.[2]
- 9.Find the surface area of a cuboid 6 cm × 3 cm × 6 cm.[3]
- 10.Find the surface area of a cuboid 7 cm × 9 cm × 5 cm.[3]
- 11.Find the surface area of a cuboid 2 cm × 6 cm × 8 cm.[3]
- 12.Find the surface area of a cuboid 7 cm × 8 cm × 9 cm.[3]
Show answers and working
1. 189 cm³
Volume = length × width × height. 7 × 9 × 3 = 189 cm³.
2. 240 cm³
Volume = length × width × height. 4 × 10 × 6 = 240 cm³.
3. 180 cm³
Volume = length × width × height. 2 × 10 × 9 = 180 cm³.
4. 900 cm³
Volume = length × width × height. 10 × 9 × 10 = 900 cm³.
5. 150 cm³
Volume = length × width × height. 10 × 5 × 3 = 150 cm³.
6. 240 cm³
Volume = length × width × height. 6 × 8 × 5 = 240 cm³.
7. 12 cm³
Volume = length × width × height. 3 × 2 × 2 = 12 cm³.
8. 140 cm³
Volume = length × width × height. 2 × 7 × 10 = 140 cm³.
9. 144 cm²
Three pairs of faces: 18, 18, 36. 2 × (18 + 18 + 36) = 144 cm².
10. 286 cm²
Three pairs of faces: 63, 45, 35. 2 × (63 + 45 + 35) = 286 cm².
11. 152 cm²
Three pairs of faces: 12, 48, 16. 2 × (12 + 48 + 16) = 152 cm².
12. 382 cm²
Three pairs of faces: 56, 72, 63. 2 × (56 + 72 + 63) = 382 cm².
Worked examples
Find the volume of a cuboid 5 cm × 2 cm × 3 cm.
- Volume = length × width × height.
- 5 × 2 × 3 = 30 cm³.
- Answer: 30 cm³
Find the volume of a cuboid 6 cm × 10 cm × 10 cm.
- Volume = length × width × height.
- 6 × 10 × 10 = 600 cm³.
- Answer: 600 cm³
Find the surface area of a cuboid 5 cm × 9 cm × 7 cm.
- Three pairs of faces: 45, 63, 35.
- 2 × (45 + 63 + 35) = 286 cm².
- Answer: 286 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 Introducing Volume of Spheres 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 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 Introducing Volume of Spheres?
- Move on to Working with Volume of Spheres, Volume of Spheres in Context, Nets, Surface Area, which build directly on this idea.
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