The pictured tetrahedron has four identical rectangular (i.e., right-angled or pythagorean) triangles as faces, with

AB=CD=p,
AC=BD=q,
AD=BC=r,
and p²+q²=r².

What's its volume, as a function of p, q and r?

(In reply to Solution by Victor Zapana)

You got a non-zero vaalue? Looking back at all the solutions here I'm afraid you must have erred somewhere...

PS. Though it's none of my business shoudln't you have cited the original problem and author at your website? Just an opinion!

Posted by Oskar on 2004-04-26 17:46:50