Mathematics for IGCSE & O level - Similarity (Section 1 - No. 27)
Two similar containers hold 1 litre and 2 litres of milk. If the surface area of the larger container is 1100 cm², calculate the surface area of the smaller one.
550 cm²
778 cm²
693 cm²
400 cm²
Explanation
Volume scale factor = 2, thus, length scale factor is the cube root of 2. Area is proportional to the square of the length. Hence area of smaller container = 1100 / (2^(2/3)) = 693 cm²
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