3

Part of 1983 Canada National Olympiad

Problems(1)

Is volume of tetrahedron dependent on area of faces?

Source: Canadian Mathematical Olympiad - 1983 - Problem 3.

The area of a triangle is determined by the lengths of its sides. Is the volume of a tetrahedron determined by the areas of its faces?

geometry3D geometrytetrahedronarea of a trianglegeometry unsolved