SAT Math Practice Question #27794 - SATify | SATify

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SAT Math Practice Question #27794 - SATify | SATify

#27794

geometry

3d geometry

hard

120 sec

What is the volume of the region in three-dimensional space defined by the inequalities $∣ x ∣ + ∣ y ∣ + ∣ z ∣ \leq 4$ and $∣ x ∣ + ∣ y + 4∣ + ∣ z ∣ \leq 4$ ?

A.

$\frac{8}{3}$

B.

$\frac{16}{3}$

C.

$\frac{32}{3}$

D.

$\frac{64}{3}$

E.

$\frac{128}{3}$