SAT Math Practice Question #21873 - SATify | SATify

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SAT Math Practice Question #21873 - SATify | SATify

#21873

geometry

3d geometry

hard

180 sec

Consider two distinct regular tetrahedra whose vertices are among the vertices of a unit cube. What is the ratio of the volume of their intersection to the volume of one of these tetrahedra?

A.

$\frac{1}{4}$

B.

$\frac{1}{3}$

C.

$\frac{1}{2}$

D.

$\frac{2}{3}$

E.

$\frac{3}{4}$