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2008 AMC 12A Question 18

AMC12 · 2008 AMC 12A

Question 18

Triangle $ABC,$ with sides of length $5,$ $6,$ and $7,$ has one vertex on the positive $x$-axis, one on the positive $y$-axis, and one on the positive $z$-axis. Let $O$ be the origin. What is the volume of tetrahedron $OABC?$
  1. $\sqrt{85}$
  2. $\sqrt{90}$
  3. $\sqrt{95}$
  4. $10$
  5. $\sqrt{105}$