Consider a cube with 1 mm long edges. At the exact center of the cube is an electron. (a) What is the total flux (remember Gauss' Law) out of the surfaces of the cube? (b) What is the flux of the electric field through each of the faces of the cube? (Hint: think about the symmetry of the problem!) (c) Which of your previous answers a) and b) would change if you placed the electron not at the center but closer to one of the sides?