An open box of maximum volume is to be made from a square piece of material, s = 36 inches on a side, by cutting equal squares from the corners and turning up the sides (see figure -2r s-2r- Height, x 1 1[36 2(1)]2 1156 (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Length and Width 36-2(1) Volume, V 2 36-2(2) 2[36 2(2)]2 2048 - 3 36-2(3) 3[36-2(3)]2- 4 36-2(4) 4[36-2(4)12. 5 36-2(5) 5[36-2(5)]2 = B 6 36-2(6) 6[36-2(6)]2 Use the table to guess the maximum volume. V= (b) Write the volume V as a function of x. V= ' 0