No.
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They both have a triangular shape
Triangles, pyramids, and prisms can all have triangular shapes.
Pyramids only have square bases.Triangular prisms have triangle bases.Pyramids have triangle "faces".Triangular prisms have rectangular "faces".
Triangular prisms and Rectangular pyramids
A triangular prism has 5 faces. Pentagonal prisms and hexagonal pyramids have 7.