There are 4 vertices does the tetrahedron have
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Four.
Four faces, six edges and four vertices.
A triangular based pyramid which is a tetrahedron has 4 faces, 6 edges and 4 vertices
A tetrahedron is a triangular based pyramid that has 4 faces, 6 edges 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.