Some do, some don't. A regular polyhedron such as the tetrahedron has none whereas an irregular one like the parallelepiped can have several.
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A rectangle is a two-dimensional shape, so it doesn't have faces in the way that three dimensional shapes have. A rectangle has four edges and four corners.
Bases are faces but faces are not necessarily bases.
A cube has 6 faces
2 solid shapes together have 8 faces, 12 edges 8 vertices
Polyhedrons are three-dimensional shapes with flat faces, straight edges, and sharp corners, known as vertices. Examples of polyhedrons include cubes, pyramids, prisms, and dodecahedrons. These shapes have a closed surface and are made up of polygons, which are two-dimensional shapes with straight sides.