Hello, realintegerz!

Did you make a sketch?

A box with a square base (sides of length ) and an open top

must have a volume of 32,000 cubic centimeters.

Express the surface area as a function of the height of the box.Code:*-------* /| /| / | / | *-------* | | | | | | | h| | * | | / | |/ x *-------* x

The volume is: . .[1]

The surface area is comprised of:

. . a square base with area:

. . four side panels, each with area:

The total surface area is: .

Substitute [1]: .

Therefore: .