4MA1/2HR Jun 2019, Question 21: 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
Two similar bottles A and B have surface areas 240 cm² and 540 cm²; B's volume is 2025 cm³. Find the volume of bottle A.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Area scale factor A to B: 240/540 = 4/9, so length factor = √(4/9) = 2/3
- 2Volume factor = (2/3)³ = 8/27
- 3Volume of A = 8/27 × 2025 = 600
Answer600
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