The trick is that, in the glued solid, some of the (outer) triangles are parallel to each other, not at an angle. So you wouldn't say that those two triangles form two distinct faces, you'd say that it forms one face (a rhombus).
This pic shows it a bit more clearly. There are distinct triangular faces, but they "lie flat" so they are only one big face. At least, that's how a book would define "a face of a solid."