Wow, good job. You're so big brained. /g
Relax... Your mouth does not have the vasculature that would allow you to bleed out. By this time some healing should have formed but it would still be a raw wound. The best thing you should do is press gauze on the wound, as well as put some alcohol, just to keep out infection. Just see your doctor in the morning.
Your mouth if anything should be fine.
Answer: if a cube is inscribed inside a sphere then the diagonal (longest side) of the cube is equal to the diameter of the sphere?
the formula for diagonal of a cube is D = 3√3a
Explanation: