Question 9
In tetrahedron $ABCD,$ edge $AB$ has length $3$ cm. The area of face $ABC$ is $15\text{ cm}^2$ and the area of face $ABD$ is $12\text{ cm}^2.$ These two faces meet each other at a $30^\circ$ angle. Find the volume of the tetrahedron in $\text{cm}^3.$