Q17 of 189 Page 512

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

Let original side be x, on increasing it by 50% i.e.


New side will be x + x = x


Total surface area of a cube = 6(side)2


Original surface area = 6 (x)2


New surface area = 6 (x)2 = 6× x2 = x2


Change in surface area = x2 − 6 (x)2


Taking LCM of 2 and 1 = 2


⇒


The percentage increase in its surface area is

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