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.
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  • 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.
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