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2015 AMC 10B Question 17

AMC10 · 2015 AMC 10B

Question 17

The centers of the faces of the right rectangular prism shown below are joined to create an octahedron. What is the volume of this octahedron?

Question illustration
  1. $ \dfrac{75}{12} $
  2. $ 10 $
  3. $ 12 $
  4. $ 10\sqrt{2} $
  5. $ 15 $