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Question

Each edge of a cube is increased by 50%. Find the percentage increase in the surface area of a cube .

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Solution

Let original edge length of cube is x units.

Original surface area of cube = 6x^2 square units.

If edge length of cube is increased by 50%, New edge length of cube = x + (50/100) x = x + 0.5x = 1.5x units

New surface area of cube = 6 * (1.5x)^2 = 13.5x^2 square units.

Percentage increase in surface area =

((New Surace Area - Original Surface Area) /Original Surface Area) *100

= ((13.5x^2 - 6x^2)/6x^2) *100

= 125%


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