A cubical volume is bounded by the surfaces x = 0, x = a, y = 0, y = a, z = 0, z = a. The electric field in the region is given by \(\vec E =E _0x\hat i\) Where E0 = 4 × 104 NC–1 m–1. If a = 2 cm, the charge contained in the cubical volume is Q × 10–14C. The value of Q is____.
(Take ∈0 = 9 × 10–12 C2/Nm2)