0580/22 Oct/Nov 2025, Question 19: Trigonometry in 3D: Cuboids
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks
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The question, in short
Cuboid box with edges 5 cm, 5 cm and 7 cm; a 10 cm rod must be shown not to fit entirely inside.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Longest rod that fits = space diagonal = √(5² + 5² + 7²)
- 2= √(25 + 25 + 49) = √99
- 3√99 ≈ 9.95 cm, which is less than 10 cm, so the rod does not fit
Answer√99 and states this is less than 10
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