Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.

Explanation

Given that side of a cube is `x` meters


so, the volume of a cube will be `V=x^3`


Now the side `x` is increased by `2%` so the new length of side will be `x(1+2/100)=(51x)/50`


The new volume will be `V_1=((51x)/50)^3=(51/50)^3x^3`


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