Question

A hypothetical cube shrinks at a rate of 8 m³/min. At what rate are the sides of the cube changing when the sides are 3 m each?

Answer 1

The rate of shrink of the hypothetical cube

= 8m^3 / min

change in side =

$\sqrt[3]{8} = \: 2$

So , rate of change in side = 2m / min