0580/43 Oct/Nov 2025, Question 22: Volume Factor of Similar Shapes
Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 5 marks
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The question, in short
Use similar triangles to find a missing side, then use the surface area ratio of two similar containers to find the larger container's capacity.
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Part (a) · 2 marks
Two similar triangles have corresponding sides 14 mm and 10 mm, and x mm and 45 mm. Find x.
- 1Scale factor = 45 ÷ 10 = 4.5
- 2x = 14 × 4.5 = 63
Answer63
Part (b) · 3 marks
Similar containers have surface areas 124 cm² and 279 cm²; the smaller holds 56 ml. Find the larger capacity.
- 1Area factor = 279 ÷ 124 = 2.25
- 2Length factor = √2.25 = 1.5
- 3Volume factor = 1.5³ = 3.375
- 4Capacity = 56 × 3.375 = 189 ml
Answer189
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Also searched as: 0580/43/O/N/25 · 0580_w25_qp_43 · 0580 w25 43 · question 22.
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