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4024/11 Oct/Nov 2024, Question 25: Trigonometry in 3D: Cuboids

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

A cuboid has EH = 6 cm, HG = 2 cm and space diagonal EC = 7 cm; calculate the length CG.

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

Solution · 3 marks

  1. 1EC² = EH² + HG² + CG²
  2. 2CG² = 7² − 6² − 2² = 49 − 36 − 4 = 9
  3. 3CG = 3 cm

Answer3

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