# If Each Side of a Cube is Increased by 10% the Volume of the Cube will Increase by

**Answer: (3) 33.1%**

**Explanation:-
**Let the each side of cube be = X

The volume of cube = X

^{3 }each side increased by 10%.

Then, the side of cube = X + X x 10/100

Then, the new volume of = (X + X/10)

^{3 }= (11X/10)

^{3 }Increased volume = (11X/10)

^{3}– X

^{3 }= [(11X)

^{3}– (10X)

^{3}]/10

^{3 }= (1331X

^{3}– 1000X

^{3})/1000

= 331X

^{3}/1000

= .331X

^{3 }=Increased area in percent = .331X

^{3}x 100/X

^{3 }= 33.1%

Hence, the answer is (3) 33.1%.