Question

A hypothetical cube grows so that the length of its sides are increasing at a rate of 4 m/min. How fast is the volume of the cube increasing when the sides are 7 m each?

Answer 1

`= 588 \ m^3 "/min"`

Explanation:

`V = l^3`

`(dV)/dt =3 l^2 (dl)/dt`

`= 3 (7)^2* 4 = 588 \ m^3 "/min"`