# Each Edge of a cube is increased by 50%.Find the percentage change in the area of cube.

2
u mean surface area or volume???

Yes

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u mean surface area or volume???

Yes

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∴its volume is x³.

it is increased by 50%

∴x+x/2 is the final side.

its volume =(3x/2)³

=27x³/8

∴Final answer = (27x³/8)-x³

=(27-8)x³/8

=19x³/8=y/100 of x³

=19/8=y/100

1900/8 =y

∴y=237.5

we have to divide it by 100 because it is in %

∴final answer =237.5/100=2.375

∴% increase in volume was 2.375%

Surface area = 6x²

50% increased edge = x+ (50/100)× 100

= x+ x/2

= (2x+x)/2

= 3x/2

New area = 6(3x/2)²

= 6(9x²/4)

= 27x²/2

Change in areas = 27x²/2 - 6x²

= (27x² - 12x²)/2

= 15x²/2

5 change in areas = [(15x²/2)/6x²]× 100

= [15x²/12x²]× 100

= (15/12) × 100

= 125

% change in areas = 125%