Solve the following

a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 27 ft by 15 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way. a. To find the objective function, express the volume V of the box in terms of x. V =