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Q: How many face edges and vertices does a triangular pyramid have?

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Tetrahedron or triangular pyramid.

A triangular pyramid consists of a triangular base. Attached to each side of the triangular base is a triangular face and these all meet up at the apex of the pyramid. There are, therefore, 6 edges, 4 bases and 4 vertices.

a pyramid

a triangular pyramid

You cannot. For example: 6 faces can be a cuboid (8 vertices and 12 edges) or it can by a triangular di-pyramid (5 vertices, 9 edges). Incidentally, a triangular di-pyramid is just two triangular pyramids stuck together at one face.

A square pyramid.

A square based pyramid.

A square based pyramid has 8 edges, 6 vertices and 5 faces.

A triangular prism.

Every face has 3 edges. CAUTION: DO NOT multiply the # of sides by 3, as that will not get you the # of edges. a triangular pyramid has 7 edges

a pyramid * * * * * A quadrilateral based pyramid.

The geometric shape that has 1 square face and 4 triangular faces is a pyramid. A pyramid also has five vertices and eight edges. The square acts as the base for the shape on which it sits.

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