Acrylic drawing carton

How can you drill a hole in acrylic sheet without cracking the material around the hole?

The material cracks because the drill speed is too fast or there is too much pressure on the drill when exiting the hole at the underside of the acrylic sheet. Back up the work area with another piece of acrylic or plywood so then the drill can continue through into solid material. If using a commercially available twist drill, make sure it is ground to a proper angle of 60-90 degrees.