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2006 AMC 10A Question 24

AMC10 · 2006 AMC 10A

Question 24

Centers of adjacent faces of a unit cube are joined to form a regular octahedron. What is the volume of this octahedron?
  1. $\dfrac{1}{8}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{1}{4}$
  4. $\dfrac{1}{3}$
  5. $\dfrac{1}{2}$