3. [-/1 Points] DETAILS By cutting away an x-by-x square from each comer of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the cardboard Is 6 Inches long by 6 Inches wide, determine the value of x that yields the maximum volume of the resulting box. X = inches Use this value of x to compute the maximum volume of the box. Maximum volume of box = cubic inches 4. [-/1 Points] DETAILS MY Math 110 Course Resources - Optimization Course Packet on applications: Minimizing the cost of construction A rectangular box with no top is to have a square base and a volume of 36 fts. If the material for the base costs 40 cents per square foot and the material for the sides costs 15 cents per square foot, determine the dimensions of the box that minimize the total cost of materials used In constructing the rectangular box. Width of the base, x = feet Height of the box, y = feet