a 273-ft^3 pool is to be built with a square bottom of side length x. the sides are built with tiles and the bottom with cement. the cost per unit of tiles is $77/ft2 while the cost of the bottom is $22/ft2. write the total cost c as a function of x.

If the bottom is a square with sides equal to x then, the area is equal to x². The height of the pool is then equal to,
                                        273/x²
Solving for the cost,
 sides: (273/x²)(x)(4)(77) = $84084/x
 bottoms: x²(22)  = 22x²

Adding up all the cost will give us an answer of,
                                        84084/x + 22x²