A pentagonal prism has 7 faces, 15 edges and 10 vertices
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The shape you are describing is a truncated octahedron. A truncated octahedron is a polyhedron with 16 vertices, 24 edges, and 10 faces. It is created by truncating an octahedron by cutting off its corners, resulting in a shape with hexagonal and square faces.
Well, honey, that sounds like a hexagonal prism to me. It's got those six faces, six vertices, and ten edges, making it the life of the 3D shape party. So, go ahead and strut your stuff with that hexagonal prism knowledge!
It has 10 vertices, 10 edges, and 0 faces.
Pentagonal Pyramid
octagonal prism