4MA1/1H Jan 2021, 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
Two similar solids A and B have volumes 1836 cm³ and 4352 cm³; B's total surface area is 1120 cm². Find A's total surface area.
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Solution · 3 marks
- 1Volume ratio A : B = 1836 : 4352 = 27 : 64
- 2Length scale factor = ³√(27/64) = 3/4
- 3Area scale factor = (3/4)² = 9/16
- 4Surface area of A = 1120 × 9/16 = 630
Answer630
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