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Grade 8 · Surface Area and Volume of 3D Objects
Surface Area and Volume: Complete Guide
WORKSHEET
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  / 28

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 343 cm3. Determine the length of one edge, and hence the total surface area of the cube.
    (4)
  2. 2
    Volume of a cube with side 4 cm (cube)
    (1)
    4 cm
  3. 3
    Surface area of a cube with side 3 cm (cube)
    (2)
    3 cm
  4. 4
    Volume of a box 6 × 3 × 2 cm (box)
    (2)
    6 cm2 cm3 cm
  5. 5
    Surface area of a box 5 × 4 × 2 cm (box)
    (3)
    5 cm2 cm4 cm
  6. 6
    Volume of a box 10 × 5 × 4 cm (box)
    (2)
    10 cm4 cm5 cm
  7. 7
    Triangular prism: cross-section area 15 cm2, length 8 cm. Volume? (prism)
    (2)
    ℓ = 8 cmshaded cross-section = 15 cm²
  8. 8
    Triangular prism: triangle base 8 cm, height 5 cm, length 10 cm. Volume? (prism)
    (3)
    8 cm 5 cm 10 cm
  9. 9
    Triangular prism: the cross-section is a right-angled triangle with sides 6 cm, 8 cm and 10 cm, and the prism is 12 cm long. Calculate its total surface area. (prism)
    (4)
    6 cm 8 cm 10 cm 12 cm
  10. 10
    How many mℓ does a 200 cm3 container hold? (capacity)
    (1)
  11. 11
    A box has volume 60 cm3, base 5 × 4 cm. Find the height. (reverse)
    (2)
  12. 12
    A cube has volume 125 cm3. Find its side length. (reverse)
    (2)
TOTAL: 28 marks
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