SAT Math Practice Question #21872 - SATify | SATify

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SAT Math Practice Question #21872 - SATify | SATify

#21872

geometry

3d geometry

hard

180 sec

Two distinct regular tetrahedra have all their vertices among the vertices of the same cube of side length $2$ . What is the volume of the region formed by the intersection of the tetrahedra?

A.

$\frac{1}{3}$

B.

$\frac{2}{3}$

C.

$\frac{4}{3}$

D.

$\frac{5}{3}$

E.

$\frac{8}{3}$