A box with an open top is to be constructed from a 13 ft by 12 ft rectangular piece of cardboard by cutting out squares or rectangles from each of the four corners, as shown in the figure, and bending up the sides. One of the longer sides of the box is to have a double layer of cardboard, which is obtained by folding the side twice. Find the largest volume (in ft3) that such a box can have. (Round your answer to two decimal places.)