0580/21 May/Jun 2026, Question 23: Volume Factor of Similar Shapes
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 3 marks
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The question, in short
Two mathematically similar solids have volumes 64 cm³ and 27 cm³, with heights 10 cm and h cm; find h.
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Solution · 3 marks
- 1Volume scale factor = 27/64
- 2Length scale factor = ∛(27/64) = 3/4
- 3h = 3/4 × 10 = 7.5
Answer7.5
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