4MA1/2H Jun 2021, Question 20: Volume Factor of Similar Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Two sizes of similar wooden blocks are produced. Each small block has volume 300 cm³ and surface areas are in ratio 25 : 36; determine the volume of one large block.
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Solution · 3 marks
- 1Area ratio 25 : 36, so length ratio is √25 : √36 = 5 : 6
- 2Volume ratio is 5³ : 6³ = 125 : 216
- 3Large volume = 300 × 216 ÷ 125 = 518.4
Answer518.4
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