4024/11 May/Jun 2024, Question 21: Similar Triangles
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Two mathematically similar prisms: A has volume 5000 cm³ and length 50 cm, B has cross-section area 16 cm². Find the length of prism B.
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Solution · 4 marks
- 1Cross-section area of A = 5000 ÷ 50 = 100 cm²
- 2Area scale factor = 16/100
- 3Length scale factor = √(16/100) = 4/10 = 0.4
- 4Length of B = 50 × 0.4 = 20 cm
Answer20
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