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FREE CAPS MATHS RESOURCES
Grade 10 · Measurement
Measurement: Surface Area, Volume & Scaling (Grade 10)
MEMORANDUM
Name:
Class:
Date:
Mark
/ 20
Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.
- 1The diagram below shows a cylinder. Calculate its volume. (π ≈ 3,14)(2)3,14 × 25 × 12 = 942 cm³✓✓ (2)
- 2The diagram below shows a cone. Calculate its volume. (π ≈ 3,14)(2)⅓ × 3,14 × 9 × 4 = 37,68 cm³✓✓ (2)
- 3Calculate the volume of the sphere in the diagram below. (π ≈ 3,14)(2)43 × 3,14 × 27 = 113,04 cm³✓✓ (2)
- 4Calculate the surface area of the sphere in the diagram below. (π ≈ 3,14)(2)4 × 3,14 × 36 = 452,16 cm²✓✓ (2)
- 5The diagram below shows a pyramid. Calculate its volume.(2)⅓ × 30 × 9 = 90 cm³✓✓ (2)
- 6A solid's dimensions are all doubled. What happens to its volume?(2)It becomes 8 times bigger (2³).✓✓ (2)
- 7A solid's dimensions are all tripled. What happens to its surface area?(2)It becomes 9 times bigger (3²).✓✓ (2)
- 8The diagram below shows a triangular prism. Calculate its volume.(2)½ × 6 × 4 = 12 cm²; 12 × 10 = 120 cm³✓✓ (2)
- 9Calculate the volume of the cylinder in the diagram below. (π ≈ 3,14)(2)3,14 × 16 × 8 = 401,92 cm³✓✓ (2)
- 10Which two solids have a ⅓ in their volume formula?(2)The cone and the pyramid✓✓ (2)
TOTAL: 20 marks