Box is to be made out of the piece of cardboard which measures 48 by 72 inches. Squares, x inches on every side, will be cut from every corner and then ends and sides will be folded up.
a.) write the formula for volume, V, of box as the function of x
b.) Sketch the graph of function
c.) use graph to determine size, x, of side of cutout squares which will make the box with maximum volume. Determine maximum volume of the box.