Triangular based pyramid with no bottom. That is, if you meant 3-D shapes, presumably?
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Bases are faces but faces are not necessarily bases.
The most common pyramid shapes have 3 faces on a triangular base or 4 faces on a square face. Other pyramid shapes may have more faces corresponding to the shape of the base.
Hexagonal prism has percandicular faces
A cuboid
Shapes that have more than six faces include polyhedrons such as the cube, which has six square faces, and the octahedron, which has eight triangular faces. Additionally, shapes like the dodecahedron have twelve pentagonal faces, and the icosahedron has twenty triangular faces. These shapes are examples of polyhedrons with more than six faces.