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In geometry, pyramid has many forms such as rectangular pyramid, trapezoidal pyramid, quadrilateral pyramid and even triangular pyramid. Triangular pyramid is a pyramid with triangular base and can be called as a tetrahedron if each of its faces has congruent equilateral triangles.
A cube has six faces and a triangular prism has five faces.
A cube has 6 faces and a triangular pyramid has 5 faces. So a cube has 1 more face than a triangular prism. But a triangular pyramid has four faces. You make the call. That is correct: A triangular prism has five faces, and a cube has six faces, but a triangular pyramid has four faces.
There are infinitely many polyhedra with one or more triangular faces.
Zero parallel faces in a triangular pyramid. There are four faces, and none of them are parallel to each other.