A box with a square base and lid must have a volume of $2200$ in$^3.$ Find the dimensions of the

box that minimize the amount of material used to build the box $($surface area$).$ Be sure to

show the equation$($s$)$ you used and how you found the minimum value using calculus.

Reminder: Volume and Surface Are formulas are:

$=$ and SA $=2+2+2$ where l is length, w is width, h is height