triangle based pyramids
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A three dimensional figure with polygonal faces is called a polyhedron. Specific names draw from the Latin prefixes. For example a four sided figure is a tetrahedron.
A polyhedron (solid shape formed by plane faces) with four faces is called a tetrahedron.
The solid shape that has one square face and four triangular faces is called a pyramid. If you were to have a shape that had four triangular faces and no square face, it would be called a triangular pyramid.
A three dimensional triangular figure with three faces and a base is called a triangular pyramid. It has four vertices, four faces, and six edges.
pyramid