0580/22 May/Jun 2024, Question 20: Area Factor of Similar Shapes
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Two mathematically similar parcels have volumes 80 cm³ and 33.75 cm³; the larger height is 5.2 cm. Calculate the smaller parcel's height.
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Solution · 3 marks
- 1Volume scale factor = 33.75/80 = 0.421875
- 2Length scale factor = ∛0.421875 = 0.75
- 3Height = 5.2 × 0.75 = 3.9 cm
Answer3.9
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