Question

If the edge of the cube is increase 50%. Find the percentage increase in surface area

Answer 1

The percentage increase in surface area is 125%

Step-by-step explanation:

If the edge of the cube is increase 50%

Let original edge of cube is x

Surface area = 6x²

Increase by 50%

New edge = x + 50% of x

                  = 1.5x

New Surface area = 6(1.5x)²

New Surface area = 13.5x²

Percentage increase in surface area $=\dfrac{\text{change in area}}{\text{initial area}}\times 100$

$\text{Percentage increase in surface area}=\dfrac{13.5x^2-6x^2}{6x^2}\times 100$

$\text{Percentage increase in surface area}=125\%$

#BAL

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