32. One face of the cube lies in the plane of the base of a regular triangular pyramid, two vertices of the cube lie on one of the lateral faces of the pyramid, and one vertex on each of the other two. Find the edge of the cube, if the side of the base of the pyramid is $a$, and the height of the pyramid is $h$.
32. $\frac{3 a h}{3 a+h(3+2 \sqrt{3})}$.