If each edge of a cube is increased by 100% then percentage increase in its surface area =
A
100 %
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B
200 %
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C
400 %
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D
300 %
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Solution
The correct option is D 300 % Let the edge =acm
New measure of edge after increase =2a
Total surface area of original cube =6a2
TSA of new cube = 6×(2a)2=6×4a2
= 24a2
= 4 × Total surface area of original cube
Increase in area = TSA of new cube - TSA of original cube
= 3 × Total surface area of original cube ∴ percentage increase in surface area =300 %