Flux through each face on a cube

1. The problem statement, all variables and given/known data

A point charge q is placed at one corner of a cube of edge a. What is the flux through each of the cube faces?

2. Relevant equations

3. The attempt at a solution

I drew a diagram of the situation. I'm pretty sure that I should use Gauss' Law and some symmetry arguments but I am not sure how to integrate over the cubes faces taking into account that the electric field produced by the point charge is radially outwards, like a sphere cutting through the face of the cube ( poorly described I know, sorry).

Thanks for the help.

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 By Gauss's Law, the flux through the whole cube is just $$6q/\epsilon_0$$. Now, apply a simple symmetry argument to get the answer.
 I'm not sure why is it 6q ? If there is only one charge of magnitude 1q surely the flux is $$q/\epsilon_0$$

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Flux through each face on a cube

Right: The total flux from that charge is just q/ε0. So what's the total flux through the cube? Through each face of the cube? (No integration needed, just symmetry.)