A triangular pyramid. This is one where all the faces are triangles - a three-sided base, from which three triangular faces rise to a single point - the apex.
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With 4 faces it is a tetrahedron. It is also called a triangular pyramid.
A tetrahedron, or triangle-based pyramid, has four corners, four faces and six edges.
5 faces 9 edges 6 corners
A triangular based pyramid is usually called a tetrahedron and it has 4 faces, 6 edges and 4 corners (usually called vertices)
Pyramid