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1989 AMC 12 Question 26

AMC12 · 1989 AMC 12

Question 26

A regular octahedron is formed by joining the centers of adjoining faces of a cube. The ratio of the volume of the octahedron to the volume of the cube is
  1. $\frac{\sqrt3}{12}$
  2. $\frac{\sqrt6}{16}$
  3. $\frac16$
  4. $\frac{\sqrt2}{8}$
  5. $\frac14$