4MA1/1H Jun 2020, Question 20: Volume Factor of Similar Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks
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The question, in short
Use similar solids R and S with surface areas 108 cm² and 300 cm² and volume 135 cm³ to calculate the volume of S.
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Solution · 3 marks
- 1Area scale factor = 300 ÷ 108 = 25/9
- 2Length scale factor = √(25/9) = 5/3
- 3Volume scale factor = (5/3)³ = 125/27
- 4Volume of S = 135 × 125/27 = 625
Answer625
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