333. Given a cube with edge $a$. Determine the areas of the parts of the sphere circumscribed around this cube, into which it is divided by the planes of the cube's faces.
333. Twelve "digons" with an area of $\frac{\pi a^{2}(2-\sqrt{3)}}{4}$ and six curvilinear quadrilaterals with an area of $\frac{\pi a^{2}(\sqrt{3}-1)}{2}$.