4MA1/1H Jan 2022, Question 17: Volume Factor of Similar Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Two similar vases have heights 10 cm and 15 cm; their volumes differ by 1197 cm³. Calculate the volume of vase A.
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Solution · 4 marks
- 1Length scale factor = 15 ÷ 10 = 1.5
- 2Volume scale factor = 1.5³ = 3.375
- 3Difference: 3.375V − V = 2.375V = 1197
- 4V = 1197 ÷ 2.375 = 504
Answer504
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