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  1. Similar Triangles
  2. areas
  3. pythagoreanTheorem
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Exercise 299
When the centers of the faces of a $6\times8\times9$ rectangular prism are joined to create an octahedron, what is the volume of the octahedron?
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Solution
  1. For $a=6,b=8,c=9$, the octahedron volume is $\frac{abc}6=\frac{6\cdot8\cdot9}6=72$.
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