Four equally sized squares are cut from the corners of an 8.5 x 11 piece of paper, and the resulting flaps are folded up to form a box. What size square will make the box of largest possible volume?[br][br][list][br][*] First drag the slider back and forth to see the squares change size.[br][*] Then click the checkbox for ShowBox to see the resulting box. Again drag the slider back and forth. What side length appears to give the largest volume?[br][*] Finally, click the checkbox for ShowGraph to see a graph of Volume versus side length. Use this graph to estimate the side length that gives the greatest volume? How close were you in your previous guess?[br][/list]