Mathematics for IGCSE & O level - Similarity (Section 1 - No. 22)
Two similar containers hold 1 litre and 2 litres of milk. If the surface area of the larger container is 1100 cm², what is the surface area of the smaller one?
550 cm²
777.8 cm²
1100 cm²
693 cm²
Explanation
Volume scale factor = 2/1 = 2. Length scale factor = 2^(1/3). Area scale factor = (2^(1/3))^2 = 2^(2/3). Area smaller container = 1100/2^(2/3) = 693 cm²
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