Pentagon
The numbers do not satisfy Euler's characteristic so there can be no such polyhedron.
It has 6 faces, 12 edges and 8 vertices
If the shapes are joined together then the resultant shape does not satisfy the Euler's characteristic for a simply connected solid and so it cannot exist.If the shapes remain separate, then the second shape has 2 faces but no vertices nor edges. Such a shape cannot exist.If the shapes are joined together then the resultant shape does not satisfy the Euler's characteristic for a simply connected solid and so it cannot exist.If the shapes remain separate, then the second shape has 2 faces but no vertices nor edges. Such a shape cannot exist.If the shapes are joined together then the resultant shape does not satisfy the Euler's characteristic for a simply connected solid and so it cannot exist.If the shapes remain separate, then the second shape has 2 faces but no vertices nor edges. Such a shape cannot exist.If the shapes are joined together then the resultant shape does not satisfy the Euler's characteristic for a simply connected solid and so it cannot exist.If the shapes remain separate, then the second shape has 2 faces but no vertices nor edges. Such a shape cannot exist.
Pyramid
2 solid shapes together have 8 faces, 12 edges 8 vertices
Pentagon
The numbers do not satisfy Euler's characteristic so there can be no such polyhedron.
That solid is called a hexahedron. Many shapes meet the definition, including cubes, parallelepipeds, rhombohedrons, pentagonal pyramids, and truncated square pyramids.
purple swag
Rectangular pyramids
It has 6 faces, 12 edges and 8 vertices
If the shapes are joined together then the resultant shape does not satisfy the Euler's characteristic for a simply connected solid and so it cannot exist.If the shapes remain separate, then the second shape has 2 faces but no vertices nor edges. Such a shape cannot exist.If the shapes are joined together then the resultant shape does not satisfy the Euler's characteristic for a simply connected solid and so it cannot exist.If the shapes remain separate, then the second shape has 2 faces but no vertices nor edges. Such a shape cannot exist.If the shapes are joined together then the resultant shape does not satisfy the Euler's characteristic for a simply connected solid and so it cannot exist.If the shapes remain separate, then the second shape has 2 faces but no vertices nor edges. Such a shape cannot exist.If the shapes are joined together then the resultant shape does not satisfy the Euler's characteristic for a simply connected solid and so it cannot exist.If the shapes remain separate, then the second shape has 2 faces but no vertices nor edges. Such a shape cannot exist.
Cube
Pyramid
cube 8
It is a cube that has 6 square faces,12 edges and 8 vertices