Problem: The paper company also plans to make boxes with tops from 12-inch by 16-inch sheets of cardboard by cutting out the shaded areas shown in the figure and folding along the dotted lines.

A. Write expressions in terms of x for the length, width, and height of the resulting box.
B. Write a formula for the volume, v, of the box as a function of x .
E. Graph your function V in a suitable window.
F. Use your graph to find the value of X
that will yield a box with the maximum possible volume. What is the maximum possible volume?