An open box of maximum volume is to be made from a square piece of material, 5 = 36 inches on a side, by cutting equal squares from the corners and turning up the sides (see figure). (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Length and Width Volume, V Height, X 1 36 2(1) 1[36 2(1)]2 1156 2 36 2(2) 2[36 2(2)]2 = 2048 3[36 2(3)]2 = |:] 4136 2(4)]2 = |:] x 5136 2(5)]2 = |:] x 6 36 2(6) 6[36 2(6)]2 = |:] x 3 36 2(3) 4 36 2(4) 5 36 2(5) Use the table to guess the maximum volume. v=:x (b) Write the volume Vas a function of x. V: , 0