# An edge of a cube is increased by 10%. Find the percentage increase by which the surface area of cube has increased.

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by Pulkit101

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by Pulkit101

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Surface area = 6a^2

New side = a X 110/100 = 1.1a

New surface area = 6 X (1.1a)^2 = 6 X 1.21a^2 = 7.26a^2

Therefore, increase in area = 7.26a^2 - 6a^2 = 1.26a^2

Increase percentage = 1.26a^2/6a^2 X 100 = 21%