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Question

If each edge of a cube is increased by 50%, then what will be its percentage increase in total surface area?

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

Increase in TSA =[2.25×6a2][6a2]=(2.251)×6a2=1.25×6a2

Percentage increase = Increase in TSATSA of original cube×100

Percentage increase = 1.25 × 6a26a2×100
Percentage increase = 125%

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