4MA1/1HR Jun 2025, Question 20: Trigonometry in 3D: Cuboids
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 3 marks
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The question, in short
Cuboid ABCDEFGH has AB = 9 cm, AF = 7 cm and space diagonal FC = 18 cm. Calculate BC, giving the answer to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1FC² = AB² + AF² + BC²
- 218² = 9² + 7² + BC²
- 3BC² = 324 − 81 − 49 = 194
- 4BC = √194 = 13.928...
- 5BC = 13.9 cm (3 sf)
Answer13.9
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