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Question

If each edge of a cube is increased by 50%, the percentage increase in its surface area is


A

50%

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B

75%

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C

100%

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D

125%

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Solution

The correct option is D

125%


Let in first case, edge of a cube = a

Then surface area = 6a2

In second case, increase in side = 50%

Side=a×100+50100

=a×150100=32 a

Surface area =6(32 a)2

=6×94 a2=272 a2

Increase in area = 272 a26a2

=152 a2

Percent increase = 15a22×1006a2

=125%


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