4MA1/1HR Jun 2025, Question 26: Volume Factor of Similar Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks
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The question, in short
Three similar vases R, S, T: S has 72.8% more volume than R; heights h and 6h; surface areas A and kA. Find k.
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Solution · 4 marks
- 1Volume S = 1.728 × volume R
- 2Length scale factor R to S = ∛1.728 = 1.2, so height of S = 1.2h
- 3Length scale factor S to T = 6h ÷ 1.2h = 5
- 4Area scale factor S to T = 5² = 25
- 5k = 25
Answer25
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