The Faraday Cage, Is a Conductor?

The idea of a Faraday cage is whatever happens on the inside will not affect the outside and vice versa. If an electric field were to be sent through this pail bucket or whatever conductor, the charges on the outside of the surface arrange themselves such that the fields inside cancel each other out. And this is the beauty of conductors which will always work. The net charge of the whole ice pail bucket does not change,. So that's that's actually an application of Gauss's law. Well, a Gauss was after, right?