There is no such straightforward polyhedron. The numbers in the question are not consistent with the Euler characteristic for simply connected polyhedra.
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.
A hemisphere
6
none
Tetrahedron
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.
sphere
A hemisphere
6
A Cylinder.
none
cube
It is a sphere
Pyramid
A triangular pyramid.
A cuboid, a parallelepiped.
Tetrahedron