Answer
75 square units per unit
Work Step by Step
First, we note that the equation for volume of a cube to be:
$$V=s^3$$
By taking the derivative of both sides we get:
$$V′=3s^2$$
When s = 5, the rate of change, or the derivative at that specific point is:
$$V′(5)=3(5^2)=3(25) = 75\ square\ units\ per\ unit$$
