SAT Math Practice Question #27793 - SATify | SATify

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SAT Math Practice Question #27793 - SATify | SATify

#27793

geometry

3d geometry

hard

120 sec

What is the volume of the region in three-dimensional space defined by the inequalities $∣ x ∣ + ∣ y ∣ + ∣ z ∣ \leq 3$ and $∣ x - 3∣ + ∣ y ∣ + ∣ z ∣ \leq 3$ ?

A.

$\frac{9}{4}$

B.

$\frac{9}{2}$

C.

$\frac{27}{4}$

D.

$\frac{27}{2}$

E.

$\frac{81}{2}$