What shape has 6 faces 12 vertices and 12 edges?

Answer 1

There is no simply connected solid with these properties.

A simply connected polyhedron is a sold shape without holes. Such a shape satisfies the Euler characteristic which requires that

V - E + F = 2 where

V = number of vertices,

E = number of edges, and

F = number of faces.

In the above case, V - E + F = 6.

Answer 2

There cannot be such a polyhedron with these properties since the numbers do not satisfy the Euler characteristic.

Answer 3

A cube