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Question

If each edge of a cube is increased by 50%, the percentage increase in the surface area is
(a) 50%
(b) 75%
(c) 100%
(d) 125%

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Solution

(d) 125%
Let the original edge of the cube be a units.
Then, the original surface area of the cube = 6a2 units

New edge of the cube = 150% of a
=150a100=3a2
Hence, new surface area=6×3a22
=27a22
Increase in area=27a22-6a2
=15a22
% increase in surface area=15a22×16a2×100%
= 125 %

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