As shown in figure, a cuboid lies in a region with electric field E=2 x^2 i -4 y j +6 k N / C. The magnitude of charge within the cuboid is n ε_0 C.…

As shown in figure, a cuboid lies in a region with electric field $\displaystyle E=2 x^2 \hat{i}-4 y \hat{j}+6 \hat{k} \mathrm{~N} / \mathrm{C}$. The magnitude of charge within the cuboid is $\displaystyle n \epsilon_0 C$. The value of $\displaystyle n$ is $\displaystyle \_\_\_\_$ (if dimension of cuboid is $\displaystyle 1 \times 2 \times 3 \mathrm{~m}^3$ ).