Question

each edge of the cube is increased by 50% find the percentage increase in the surface area if the side of the cube is 4 cm

Answer 1

hey mate
here's the solution

Answer 2

Original edge of cube = 4 cm

Original surface area of cube = 6 * ( side ) ^ 2
Original surface area of cube = 6 * ( 4 ) ^ 2 = 6 * 16 = 96 cm ^ 2

Percentage increase in edge = 50 %

Increase = 50 % of 4 = 50 / 100 of 4 = 2 cm

New edge of cube = 4 + 2 = 6 cm

New surface area of cube = 6 * ( side ) ^ 2
New surface area of cube = 6 * ( 6 ) ^ 2 = 6 * 36 = 216 cm ^ 2

Change in surface area of cube = 216 - 96 = 120 cm^2

Percentage change in surface area = 120 / 96 * 100 = 12000 / 96 = 125 %

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