Suppose that $\displaystyle {p}$ and $\displaystyle {q}$ are positive numbers. The sides of a cube increase so that its volume increases at a rate of $\displaystyle {p}$ cubic inches per minute. At what rate is the surface changing when it is $\displaystyle {q}$ square inches? Express your answer in terms of $\displaystyle {p}$ and $\displaystyle {q}$.

at a rate of square-inches per minute
Preview Question 6