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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
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.
It has 6 faces, 12 edges and 8 vertices
Cube
Pyramid
cube 8
It is a cube that has 6 square faces,12 edges and 8 vertices