We are designing a computer graphic in which we zoom in on a cube. The volume V, surface area S, and side length z of the cube are all varying with respect to time. With this information, compute the following quantities using the steps described in the text:
1. dS/dt when x = 2 inches and dV/dt = 1in^3/s
2. dV/dt when x = 2 inches and dS/dt = 1in^2/s