All boxes with a square base, an open top, and a volume of 90 fto have a surface area given by S(x) = x2+ 360 where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,co). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x) =] The absolute minimum value of the surface area function is 2. (Round to three decimal places as needed.) The dimensions of the box with minimum surface area are a base of length it and a height of it. (Round to three decimal places as needed.)