Q. 175.0( 4 Votes )

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

A. 50%

B. 75%

C. 100%

D. 125%

Answer :

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× x^{2} = x^{2}

Change in surface area = x^{2} − 6 (x)^{2}

Taking LCM of 2 and 1 = 2

⇒

The percentage increase in its surface area is

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