A pentagonal prism
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There is no such shape - unless there are other faces. If there is one rectangular face then you require at least four other faces - one on each edge of the rectangle - making a minimum of 5 faces.
A rectangular pyramid has 5 faces, 8 edges and 5 vertices. And it is not vertices's or vertices's's.
A rectangular pyramid (four-sided base) has 5 faces and 5 vertices.
5 faces 5 vertices 8 edges
5 faces, 8 edges and 5 vertices.