An open top box is to be constructed from a 7 inch by 15 inch piece of cardboard by cutting out a square of equal size from each of the four corners and then folding up the resulting sides. (a) What size square should be cut from each of the four corners in order to maximize the volume of the resulting box? A square with a side length of 1.5 inches should be cut from each corner. 1.5 inches by 4 inches by 12 inches 72 cubic inches
(b) What are the dimensions of the box with maximal volume?
(c) What is the maximum volume for such a box?