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

  1. 30%
  2. 10%
  3. 33.1%
  4. 25%
Manish Listener Asked on 15th July 2015 in Maths.
Add Comment
1 Answer(s)

Answer: (3) 33.1%
Explanation:-
Let the each side of cube be = X
The volume of cube = X3
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 – X3
 = [(11X)3 – (10X)3]/103
 = (1331X3 – 1000X3)/1000
= 331X3 /1000
= .331X3
 =Increased area in percent = .331X3 x 100/X3
                           = 33.1%
Hence, the answer is (3) 33.1%.

Anurag Mishra Professor Answered on 16th July 2015.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.