1 : 9
Exlanation
As the ratio of volume of two cubes are 1 : 27.
∴ The ratio of each side of the cubes
=3 \sqrt{1}: 3 \sqrt{27}=1: 3
The ratio of total surface areas of the two cubes = 6(1)2: 6(3)2 = 12 : 32 = 1 : 9
Question
The ratio of the volumes of two cubes is 1 : 27, the ratio of total surface areas of two cubes is (a) 1 : 3 (b) 1 : 8 (c) 1 : 9 (d) 1 : 18
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