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2011 AMC 10A Question 24

AMC10 · 2011 AMC 10A

Question 24

Two distinct regular tetrahedra have all their vertices among the vertices of the same unit cube. What is the volume of the region formed by the intersection of the tetrahedra?
  1. $\dfrac{1}{12}$
  2. $\dfrac{\sqrt2}{12}$
  3. $\dfrac{\sqrt3}{12}$
  4. $\dfrac{1}{6}$
  5. $\dfrac{\sqrt2}{6}$