There is no such polyhedron.
A solid figure with six faces, including the bases, and six vertices is a rectangular prism (also known as a cuboid). In this shape, there are two rectangular bases and four rectangular lateral faces. Each of the six vertices is a point where the edges meet. This structure allows for various dimensions while maintaining the specified number of faces and vertices.
Tetrahedron
triangular prism
It is a cube or a cuboid that has 6 faces, 8 vertices and 12 edges
A cube has eight vertices and six faces (think of a die!).
Hexahedron
A tetrahedron, otherwise known as a triangular pyramid, has four faces, four vertices and six edges.
a tetrahedron. it has four faces and six edges or vertices and four corner points
A tetrahedron or triangular-based pyramid has four faces, six edges, and four vertices.
Pretty simple really: Vertices are corners and edges are boundaries so, a hexagon has six of each.
sphere
cubes and cuboids