How to get the face of BoxGeometry facing the camera


I am working on a Parcheesi game. I have created the die using a BoxGeometry and a different texture for each number on the die.
The way I spin the die is by generating a random integers and rotating the mesh on the z-axis and the y-axis. My problem is that I do not know which face of the die facing the camera.
Any suggestions would be greatly appreciated.

Thanks in advance,