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Question

Each edge of a cube is increased by 50%, then percentage increase in its surface area =.

A
125%
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B
110%
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C
150%
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Solution

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

Total surafec area of the new cube
=6×(3a2)2=6×9a24=94×6a2=2.25×6a2

=2.25 × Total surface area of the original cube

Increase in the area
= New total surface area - orignal suface area
=(2.251)×6a2=1.25×6a2

Total surface area of the original cube
=1.25 × Total surface area of the original cube.

Percentage increase in surface area =125 %.

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