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SMO 2024 Senior Round 1 Question 13

SMO · SMO 2024 Senior Round 1

Question 13

In a tetrahedron $SABC$, the faces $SBC$ and $ABC$ are perpendicular to each other. The angles $\angle ASB$, $\angle BSC$, $\angle ASC$ are all $60^\circ$, and $SB=SC=4$. Find the square of the volume of the tetrahedron.

Question illustration