<image>Take a square cardboard with a side length of 60 cm and appropriately cut and fold it into a rectangular box (ignoring the thickness of the cardboard).
(1) As shown in Figure 1, if a square of the same size is cut from each of the four corners of the square cardboard, the remaining part is folded into a rectangular box without a lid.
① To make the bottom area of the folded rectangular box 576 cm², what is the side length of the cut squares?
② Does the side area of the folded rectangular box have a maximum value? If so, find this maximum value and the side length of the cut squares at this time; if not, provide an explanation.
(2) As shown in Figure 2, if some rectangles are cut from the edges of the square cardboard (i.e., at least one side of the cut rectangles lies along the edge of the square cardboard), and the remaining part is folded into a rectangular box with a lid. If the surface area of the folded rectangular box is 2800 cm², find the length, width, and height of the rectangular box at this time (only find one situation that meets the requirements).
