An open box of maximum volume is to be made from a square piece of material, s = 24 inches on a side, by cutting equal squares from the corners and turning up the sides (see figure). xI X' S - 2x (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, x Length and Width Volume, V 1 24 - 2(1) 1[24 - 2(1) ]2 = 484 2 24 - 2(2) 2[24 - 2(2) ]2 = 800 3 24 - 2(3) 3[24 - 2(3) 12 = 4 24 - 2(4) 4[24 - 2(4) 12 = 5 24 - 2(5) 5[24 - 2(5) ]2 = 6 24 - 2(6) 6[24 - 2(6) 12 = Use the table to guess the maximum volume. V = (b) Write the volume V as a function of x. V : 0