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Grade 8 · Measurement
Surface Area and Volume: Complete Guide
MEMORANDUM
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  / 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.

  1. 1
    Volume of a cube with side 4 cm (cube)
    (2)
    4 cm4 cm4 cm
    43 = 64 cm3✓✓ (2)
  2. 2
    Surface area of a cube with side 3 cm (cube)
    (2)
    3 cm3 cm3 cm
    6 × 9 = 54 cm2✓✓ (2)
  3. 3
    Volume of a box 6 × 3 × 2 cm (box)
    (2)
    6 cm2 cm3 cm
    6 × 3 × 2 = 36 cm3✓✓ (2)
  4. 4
    Surface area of a box 5 × 4 × 2 cm (box)
    (2)
    5 cm2 cm4 cm
    2[(5×4)+(5×2)+(4×2)] = 2(38) = 76 cm2✓✓ (2)
  5. 5
    Volume of a box 10 × 5 × 4 cm (box)
    (2)
    10 cm4 cm5 cm
    200 cm3✓✓ (2)
  6. 6
    Triangular prism: cross-section area 15 cm2, length 8 cm. Volume? (prism)
    (2)
    ℓ = 8 cmshaded cross-section = 15 cm²
    15 × 8 = 120 cm3✓✓ (2)
  7. 7
    Triangular prism: triangle base 8, height 5, length 10 cm. Volume? (prism)
    (2)
    base 8 5 length 10
    12×8×5 = 20; 20×10 = 200 cm3✓✓ (2)
  8. 8
    How many mℓ does a 200 cm3 container hold? (capacity)
    (2)
    200 mℓ✓✓ (2)
  9. 9
    A box has volume 60 cm3, base 5 × 4 cm. Find the height. (reverse)
    (2)
    60 ÷ 20 = 3 cm✓✓ (2)
  10. 10
    A cube has volume 125 cm3. Find its side length. (reverse)
    (2)
    125 = 5 cm✓✓ (2)
TOTAL: 20 marks
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