0580/22 May/Jun 2026, Question 20: Similar solids
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks
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The question, in short
Two similar bottles have volumes 216 cm³ and 27 cm³. The larger is 10 cm tall; find the height h cm of the smaller.
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Solution · 3 marks
- 1Volume scale factor = 27/216 = 1/8
- 2Length scale factor = ∛(1/8) = 1/2
- 3h = 10 × 1/2 = 5
Answer5
Stuck on a step? Read the free lesson: Volume Factor of Similar Shapes
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