What is the maximum volume of a rectangular prism (or box) if the prism has a square base and a total surface area of 100cm^2?

(Could you please explain in a step-by-step explanation for parts A and B specifically?)

A) First, let x = the side length of the base and h = the height of the prism. Write an equation stating that the total surface area equals 100cm^2 and solve the equation for h.

B) Write a function for the volume of the box, V, in terms of x.

C) Find the maximum volume and note the x-value that generates it. Support your answer by sketching and labeling a graph of V(x).