3. [0/1 Points] DETAILS PREVIOUS ANSWERS MY NOTES By cutting away an x-by-x square from each corner 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 = x inches Use this value of x to compute the maximum volume of the box. Maximum volume of box = x cubic inches Submit Answer 4. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Optimization Course Packet on applications: Minimizing the cost of construction A rectangular box is to have a square base and a volume of 294 ft3. If the material for the base costs 44 cents per square foot, material for the top costs 16 cents per square foot, and the material for the sides costs 35 cents per square foot, determine the dimensions of the box (in feet) 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