Is there any formula for the volume of a tetrahedron in terms of the areas of its four faces ?
Need any assumptions be necessarily made ( like each face altitude, circum-radius) etc?
EDIT
Like to know... if it is possible to find area of a triangle in terms of its sides then in higher dimensions why in terms of enveloping areas it is not possible to find enclosed volume.
I want to know the mathematical logic about possibility of finding it or lack of it.
Thanks.