0580/22 Feb/Mar 2023, Question 18: Volume Factor of Similar Shapes
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Given two mathematically similar solids with volumes 81 cm³ and 24 cm³, and the smaller one's surface area is 44 cm², work out the larger solid's surface area.
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Solution · 3 marks
- 1Volume scale factor = 81/24 = 27/8
- 2Length scale factor = ∛(27/8) = 3/2, area scale factor = (3/2)² = 9/4
- 3Surface area = 44 × 9/4 = 99 cm²
Answer99
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