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