Electrostatics

A cubical volume is bounded by the surfaces \(\mathrm{x}=0, x=\mathrm{a}, y=0, y=\mathrm{a}, \mathrm{z}=0, z=\mathrm{a}\). The electric field in the region is given by \(\overrightarrow{\mathrm{E}}=\mathrm{E}_{0} x \hat{i}\). Where \(\mathrm{E}_{0}=4 \times 10^{4} ~\mathrm{NC}^{-1} \mathrm{~m}^{-1}\). If \(\mathrm{a}=2 \mathrm{~cm}\), the charge contained in the cubical volume is \(\mathrm{Q} \times 10^{-14} \mathrm{C}\). The value of \(\mathrm{Q}\) is ________________.

(Take \(\epsilon_{0}=9 \times 10^{-12} ~\mathrm{C}^{2} / \mathrm{Nm}^{2}\))