A triangular based pyramid has 4 vertices.
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A triangular based pyramid has 4 facxes, 4 vertices and 6 edges
A triangular based pyramid which is a tetrahedron has 4 faces, 6 edges and 4 vertices
A triangular based pyramid has 4 faces, 6 edges and 4 vertices.
A triangular based pyramid has 6 edges, 4 faces and 4 vertices
The number of vertices on a solid pyramid will depend on its base as for example if it is a triangular based pyramid (tetrahedron) then it will have 4 vertices, 6 edges and 4 faces.