No.
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Cube (hexahedron) has square faces and dodecahedron has pentagonal faces.
A cube, like a prism has two identical parallel faces which are joined by rectangular faces (a square being a special case of a rectangle). A pyramid, on the other hand, has a number of triangular faces meeting at an apex: a cube has no triangular faces.
There are 5. They are the tetrahedron (4 triangular faces), the cube (6 square faces), the octahedron (8 triangular faces), the dodecahedron (12 pentagonal faces), and the icosahedron (20 triangular faces).
A cube. Or a triangular bipyramid.
They are called faces.