An edge of a variable cube is increasing at the rate of 3cm per second. How fast is the volume of the cube increasing when the edge is 10cm long?

Explanation

Let any time `t` length of edge of cube is `x` and its volume is `V` then


`V=x^3`.............(i) and this edge is increasing at the rate of `3"cm/s"`


`:. dx/dt=3"cm/s"`


We have to find, rate of change of volume `V`


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