Personally I really liked the dice rolling, I felt that it tied in well because all the previous levels taught that rolling around a corner (e.g. left, up, right) changed the direction the cube was facing. I used that technique to solve the dice rolling problems and get the face i wanted. Perhaps if you teach that technique more explicitly as a tutorial and then connect it to the way you manipulate the dice, the mechanic will be more clear to players?
Regardless, great level and puzzle design :)