I've got a cuboid. I discarded the pixels in the top half of the cube and disabled backface culling so you can see inside. I'd like to change the inside faces to be a different color from the outside faces. Is that possible?

I attempted to use the NORMAL to determine if a face is on the inside vs outside of the cube.
if (length(NORMAL - normalize(vec3(-1, -1, 0))) < 0.5)
{ // RED
ALBEDO = vec3(1, 0, 0);
}
else if (length(NORMAL - normalize(vec3(1, -1, 1))) < 0.5)
{ // GREEN
ALBEDO = vec3(1, 1, 0);
}
but unfortunately as you can see from the picture the inside and outside appear to have the same NORMAL because we have two green faces and two red faces. Ideally I only want the left green face and upper red face (since those are inside the cube).
Is there anyway I can detect the inside faces using a shader?
Also TwistedTwig if you see this, thanks for the help before.