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Grade 9 · Surface Area and Volume of 3D Objects
Surface Area & Volume of 3-D Objects (Grade 9)
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  / 31

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

  1. 1
    A cube has a volume of 512 cm3. Determine the length of one edge, and hence the total surface area of the cube.
    (4)
  2. 2
    Volume of a box 6 cm × 4 cm × 3 cm.
    (2)
    6 cm3 cm4 cm
  3. 3
    Surface area of a box 6 cm × 4 cm × 3 cm.
    (3)
    6 cm3 cm4 cm
  4. 4
    Volume of a cube with side 5 cm.
    (1)
  5. 5
    Triangular prism: base 6, height 4, length 12 cm. Find the volume.
    (3)
    4 cm6 cmℓ = 12 cm
  6. 6
    The diagram below shows a triangular prism whose cross-section is a right-angled triangle with sides of 15 cm and 8 cm. The prism is 5 cm long. Calculate the length of the third side of the triangle, and then the total surface area of the prism.
    (5)
    15 cm8 cmℓ = 5 cm
  7. 7
    Cylinder radius 3 cm, height 7 cm. Find the volume (π ≈ 3,14).
    (3)
    r = 3 cmh = 7 cm
  8. 8
    Cylinder radius 3 cm, height 7 cm. Find the surface area (π ≈ 3,14).
    (3)
    r = 3 cmh = 7 cm
  9. 9
    Cylinder radius 2 cm, height 5 cm. Find the volume (π ≈ 3,14).
    (2)
    r = 2 cmh = 5 cm
  10. 10
    How many mℓ does a container of 250 cm3 hold?
    (1)
  11. 11
    A cylinder's height is doubled. What happens to its volume?
    (2)
    rhr2h→
  12. 12
    A cylinder's radius is doubled. What happens to its volume?
    (2)
    rh2rh→
TOTAL: 31 marks
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