Use the divergence theorem to find the outward flux of the vector field $\mathbf{F}(x, y, z) = 2\!x^{2}\mathbf{i} + 3\!y^{2}\mathbf{j} + 1\!z^{2}\mathbf{k}$ across the boundary of the rectangular prism: $0 \leq x \leq 4, 0 \leq y \leq 5, 0 \leq z \leq 3$.