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MathNet 1997 — Part 01 Question 75

Math Olympiad Vault · MathNet 1997 — Part 01

Question 75

If $ABCD$ is a generic tetrahedron that you know the length of the $a$ spigot $AB$ and the area $S$ of the proiezione of the tetrahedron its a perpendicular plane all the way back to $A$ and $B$.
I will determine the volume of the tetrahedron.