2. A 30 by 50 inch rectangle of cardboard will have square corners cut out and folded up to construct an open-top box (no lid),
do
a) Write a function for the volume of the box as a function of x, the height that is folded.
b) Determine the height, x, and the volume for the box of greatest volume. Round your answers to the nearest
hundredth and be sure to use correct units in your answers.
c)
Show your work using unit multipliers in converting your answer to part b to cubic feet. (12 inches = 1 foot)