The shape would be impossible. The faces and vertices have to add up to two more than the edges.
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It is a cuboid that has 8 vertices, 12 edges and 6 faces
None. A shape with four faces is a tetrahedron and that has 4 vertices, not 6.
A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.
A Triangular based Pyramid has 4 vertices, 6 edges and 4 faces.
Cuboid.