Question 117
Suppose for a tetrahedron $OABC$, $OA = 3$, $OB = 4$, $OC = 5$, where by $XY$ we denote the length of the line segment $XY$. Suppose also that we have $\angle AOB = \angle AOC = 45^\circ$, and $\angle BOC = 60^\circ$. Determine the volume of the tetrahedron $OABC$.