A polyhedron as for example a pyramid
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It is a triangular prism that has 5 faces. 6 vertices and 9 edges
5 vertexes, 4 faces, and 8 edges
A tetrahedron has four vertexes and four faces and six edges.
Slender is not a polyhedron.
A hexagonal pyramid has 12 edges, 7 vertices and 7 faces.