Question 11 Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 8 inches by b = 8 inches by cutting a square of side x at each corner and turning up the sides (see the figure). Determine the value of a that results in a box the maximum volume. 9- a 8- X a w 2 3 4 5 6 7 8 9 Following the steps to solve the problem. Check Show Answer only after you have tried hard. (1) Express the volume V as a function of x: V Y (2) Determine the domain of the function V of x (in interval form): (3) Expand the function V for easier differentiation: V = (4) Find the derivative of the function V: V' =