A piece of ice is in the form of a cube melts so that the percentage error in the edge of cube is `a` , then find the percentage error in its volume.

Explanation

Let `x` be the side and `V` be the volume of the cube.


`V=x^{3}`


We have


`frac{Delta x}{x} times 100=a `

`therefore frac{d V}{d x}=3 x^{2} `

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