4MA1/2HR Jan 2023, Question 18: Volume Factor of Similar Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
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The question, in short
Statue and model are mathematically similar; surface areas 3600 cm² and 625 cm², model volume 750 cm³. Work out the statue's volume.
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Solution · 3 marks
- 1Area scale factor = 3600 ÷ 625 = 5.76
- 2Length scale factor = √5.76 = 2.4
- 3Volume scale factor = 2.4³ = 13.824
- 4Volume of statue = 750 × 13.824 = 10368
Answer10368
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