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Year 8 Maths — Mensuration

Find areas of trapeziums and circles, and volumes and surface areas of cuboids and cylinders.

Name: ________________________

  1. 1.A cube has edges of 5 cm. What is its total surface area, in square centimetres?

  2. 2.A circle has a radius of 14 cm. Take π = 22/7. What is its area, in square centimetres?

  3. 3.A cylinder has a radius of 7 cm and a height of 10 cm. Take π = 22/7. What is its curved surface area, in square centimetres?

  4. 4.A cube has edges of 5 cm. What is its volume, in cubic centimetres?

  5. 5.A trapezium has parallel sides of 10 cm and 6 cm, and a height of 4 cm. What is its area, in square centimetres?

  6. 6.A cylinder has a radius of 7 cm and a height of 10 cm. Take π = 22/7. What is its total surface area, in square centimetres?

  7. 7.Sort each formula by what it measures.

    Groups: Measures area · Measures volume

    • π × r × r
    • length × width × height
    • edge × edge × edge
    • π × r × r × h
    • length × width
    • 2 × π × r × h

  8. 8.Which of these gives the volume of a cylinder?

    • a) π × r × r
    • b) 2 × π × r × h
    • c) 2 × π × r
    • d) π × r × r × h

Answer key — Year 8 Maths — Mensuration

  1. 1. 150
  2. 2. 616
  3. 3. 440
  4. 4. 125
  5. 5. 32
  6. 6. 748
  7. 7. π × r × r → Measures area; length × width → Measures area; 2 × π × r × h → Measures area; length × width × height → Measures volume; π × r × r × h → Measures volume; edge × edge × edge → Measures volume
  8. 8. d) π × r × r × h