A point charge of $+6.0\ \text{nC}$ sits at one corner $A$ of an imaginary cube with edges $10\ \text{cm}$ long, in empty space. Three faces of the cube meet at $A$, and the other three do not touch it. The figure shades one of the faces that do not touch $A$. The cube is only a surface for counting flux: it holds nothing and changes nothing. There is no other charge anywhere near. Take $\varepsilon_0 = 8.85 \times 10^{-12}\ \text{C}^2\,\text{N}^{-1}\,\text{m}^{-2}$. What is the electric flux through the shaded face?

Fig. 1: A cube drawn in perspective, with edges 10 cm long. A point charge of plus 6.0 nanocoulombs sits at the corner A, at the bottom left of the front face. The right-hand face of the cube, which does not touch A, is shaded. Hidden edges are dashed.