Pizza house just introduced a larger personal pizza. The Pizza House Company needs a design for a box to package this new pizza. The box is to be made from a piece of cardboard of size 10 inches by 18 inches. The company will generously reward the employee team that designs the box with the largest volume. The design must be simple, as shown below. Six squares of width x are to be cut from the cardboard, which will then be folded into a box of height \"\".x Your challenge is to determine the size of x that will maximize the volume of the box. 10 Find all dimensions of the box, in terms of x. Write a function that represents the volume of the box. This function is the primary equation to be maximized. Determine an appropriate closed interval domain for the problem, based on the size of the cardboard. . Graphically investigate the absolute extrema of the function on the closed interval domain. Approximate the location of the extrema value(s). You can use DESMOS. Include an image of your graph with appropriate domain and location of critical points. . Analytically solve for the absolute extrema of the function. Use calculus to nd the critical number(s) of the function. Evaluate the primary equation function at the end points of the domain and at the critical number(s) of the function. Find the dimensions of the box that has the maximum volume