Brent, The cubes are made from an acetate plastic very similar to the stuff used in screwdriver handles. Matter of fact the Co. that makes the rods that eventually turn into dice is called Handles Co. Super Glue won't work but if you can find a clear glue that is used to put together plastic models it should work. Best to do a little testing though.
Hava Good One,
Richard
PS I have several cases of blank cubes, several colors, if you are interested. 1000 per case 75.00 per case plus S&H.