0580/23 May/Jun 2026, Question 20: 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 cylinders A and B have surface areas 80 cm² and 180 cm², with heights h cm and 12 cm; find h.
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Solution · 3 marks
- 1Area scale factor = 80/180 = 4/9
- 2Length scale factor = √(4/9) = 2/3
- 3h = 2/3 × 12 = 8
Answer8
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