An open box is to be made from a square piece of cardboard whose sides are 11 11 in inches long, by cutting squares of equal size from the corners and bending up the X X sides. Determine the size of the square that is to be cut out so that the volume may be a maximum. X 11 in X X X X A square with a side of length inches should be cut away from each corner to obtain the maximum volume. (Round to two decimal places as needed.)