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4024/12 May/Jun 2023, Question 9: Volume of a Prism

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

For a triangular prism with right-angled isosceles cross-section sides 3 cm and 3 cm and length 8 cm, find its planes of symmetry and its volume.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

State how many planes of symmetry the prism has.

  1. 1One plane through the length of the prism, bisecting the right angle
  2. 2One plane halfway along the length, parallel to the ends
  3. 3Number of planes of symmetry = 2

Answer2

Part (b) · 2 marks

Calculate the volume of the prism using the given dimensions.

  1. 1Area of cross-section = 1/2 × 3 × 3 = 4.5 cm²
  2. 2Volume = 4.5 × 8 = 36 cm³

Answer36

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