Question

A cube of sides length L contains a flat square plate also with sides of length L. The cube and square are in a Cartesian coordinate system. The square is placed at z=L/2 and extends from x=0 to x=L and from y=0 to y=L. The cube is placed such that it extends from x=0 to x=L, y=0 to y=L and z=0 to z=L. The flat square plate has a surface charge density that is given by -3xy (C/m2). Calculate the total electric flux passing through the sides of the cube.