Given a rectangular sheet of paper 8.5 inches by 11 inches, form a box by cutting congruent squares from each corner, folding up the sides, and taping them to form a box without a top. to make a box with maximum capacity, how large should the square cutouts from the corners of the original paper be? (a) provide a numeric/tabular solution approach. feel free to submit a spreadsheet file with your solution but you must provide an explanation of what is being shown and what specifications the user has power to enter (b) provide a second solution approach to solve the problem. ( dynamic diagram ) approach 2. if we always start with a square sheet of paper, determine the common relationship exist between the length of the side of this square and the length of the side of the smaller squares that are cut out from each corner (to generate a box with maximum volume). explain both solutions and clearly state which one is correct.