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Not necessarily.
A triangular prism has two triangular bases and three lateral rectangular faces. It has five faces in all so that it is a pentahedron.A triangular pyramid has a triangular base and three triangular lateral faces. It has 4 faces in all so that it is a tetrahedron.
A tetrahedron (or triangular pyramid).
A tetrahedron - ie a triangular pyramid.
A cube. Or a triangular bipyramid.