## Proof of Gauss’ Theorem for a Rectangular Prism

Recall Gauss’ theorem, $ \int\int\int_V (\vec{\nabla} \cdot \vec{F}) dV = \int\int_{S} (\vec{F} \cdot \vec{e}_{n}) dS $. This theorem can be written more precisely. The following statement of the Divergence theorem is a copy from reference [1].Â Definitions are provided first. Volume $ V$: Define $ V$ as a region comprising three spatial dimensions. The volume has …