#./interaufg69_en.tex#The plane
dissects the tetrahedron with vertices
into two solid subfigures.
Find the points of intersection
on the edges.
Compute the volumes of the tetrahedron and of the solid subfigure containing the origin
.
Hint:
The dashed triangle
dissects one of the solid subfigures into a prism and a pyramid having a quadrilateral base.
Answer:
(The results should be correct to three decimal places.)