A moebus strip.
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Cube Cuboid Sqaure-based Pyramid
No, they have only one face.
One is a cuboid. The other is a shape with two pentagonal shapes that meet along one edge. Along the next edges, one on either side is a triangular face. And on the further two sides of the pentagon are trapezium faces. I am not aware of a name for this shape other than hexahedron, which does not distinguish it from a cuboid.
There are many shapes that have one and only one rectangular face, but an example of one would be a rectangular pyramid.
sqaure base pyramid