DANEMATHICS
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Grade 10 · Measurement
Measurement: Surface Area, Volume & Scaling (Grade 10)
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  / 20

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    The diagram below shows a cylinder. Calculate its volume. (π ≈ 3,14)
    (2)
    r = 5 cm h = 12 cm
  2. 2
    The diagram below shows a cone. Calculate its volume. (π ≈ 3,14)
    (2)
    r = 3 cm h = 4 cm
  3. 3
    Calculate the volume of the sphere in the diagram below. (π ≈ 3,14)
    (2)
    r = 3 cm
  4. 4
    Calculate the surface area of the sphere in the diagram below. (π ≈ 3,14)
    (2)
    r = 6 cm
  5. 5
    The diagram below shows a pyramid. Calculate its volume.
    (2)
    h = 9 cm base area 30 cm²
  6. 6
    A solid's dimensions are all doubled. What happens to its volume?
    (2)
  7. 7
    A solid's dimensions are all tripled. What happens to its surface area?
    (2)
  8. 8
    The diagram below shows a triangular prism. Calculate its volume.
    (2)
    b = 6 cm h = 4 cm ℓ = 10 cm
  9. 9
    Calculate the volume of the cylinder in the diagram below. (π ≈ 3,14)
    (2)
    r = 4 cm h = 8 cm
  10. 10
    Which two solids have a ⅓ in their volume formula?
    (2)
TOTAL: 20 marks
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