A block of cheese in the shape of a rectangular solid measures 10 \mathrm{~cm} by 13 \mathrm{~cm} by 14 \mathrm{~cm}. Ten slices are cut from the cheese. Each slice has a width of 1 \mathrm{~cm} and is cut parallel to one face of the cheese. The individual slices are not necessarily parallel to each other. What is the maximum possible volume in cubic \mathrm{cm} of the remaining block of cheese after ten slices have been cut off?