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It will be an hexagonal based pyramid with 7 faces, 7 vertices and 12 edges
Pyramid, but to be exact it would be a Triangular Pyramid ;) * * * * * To be exact ... but WRONG! A triangular pyramid has 4 faces and 4 vertices! A shape with 5 faces and vertices is a quadrilateral based pyramid - of which a special case would be a square based pyramid.
A triangular based pyramid has 4 faces and 4 vertices
A triangular based pyramid has 4 faces, 6 edges and 4 vertices whereas a square based pyramid has 5 faces, 8 edges and 5 vertices
A triangular based pyramid which is a tetrahedron has 4 faces, 6 edges and 4 vertices