0580/23 May/Jun 2025, Question 17: Area Factor of Similar Shapes
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 3 marks
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The question, in short
Two mathematically similar solids A and B have heights 7 cm and H cm; A's surface area is 60 cm² and B's is 540 cm². Work out the height H of solid B.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Area scale factor = 540 ÷ 60 = 9
- 2Length scale factor = √9 = 3
- 3H = 7 × 3 = 21 cm
Answer21
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