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Question

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

A
125%
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B
150%
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C
175%
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D
110%
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Solution

The correct option is A 125%
Let the edge =a cm
New edge after increase =a+50%a=a+a2=3a2
Total surface area of original cube =6a2

TSA of new cube =6×(3a2)2=6×9a24=2.25×6a2
TSA=2.25×Total surface area of original cube

Increase in area =[2.25×6a2][6a2]=(2.251)×6a2=1.25×6a2
Increase in area
=1.25× TSA of original cube
Increase %=125%

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