4MA1/2H Jun 2025, Question 26: Volumes of similar solids
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
Two similar solids A and B have heights 31 cm and 18.6 cm. The volume of A minus the volume of B is 735 cm³. Find the volume of A.
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Solution · 4 marks
- 1Length scale factor B to A: 18.6 : 31 = 3 : 5
- 2Volume ratio B : A = 3³ : 5³ = 27 : 125
- 3Difference 125 − 27 = 98 parts = 735 cm³
- 4One part = 735 ÷ 98 = 7.5
- 5Volume of A = 125 × 7.5 = 937.5
Answer937.5
Stuck on a step? Read the free lesson: Volume Factor of Similar Shapes
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