4MA1/2H Jan 2023, Question 19: Area Factor of Similar Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
Two similar vases A and B have surface areas in the ratio 25/64; given that A's volume exceeds B's by 541.8 cm³, calculate the volume of vase B.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Area factor = 25/64 = (5/8)², so length factor = 5/8
- 2Volume factor = (5/8)³ = 125/512
- 3Let volume of B = V, so V/(V + 541.8) = 125/512
- 4512V = 125V + 67 725, so 387V = 67 725
- 5V = 175
Answer175
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