The approximate change in the volume of a cube of side x meters caused by increasing the side by 3% is
(A) 0.06 `x^3m^3` (B) 0.6 `x^3m^3` (C) 0.09 `x^3m^3` (D) 0.9 `x^3m^3`

Explanation

Volume (v) of a cube with side x is given by, `v=x^3`


=>`(dv)/dx=3x^2 -=trianglev=3x^2triangle x`


Now it is given that `trianglev=0.03x`


`:. trianglev=0.09x^3m^3`