gaokao 2018 Q10

gaokao · China · national-I-arts 5 marks Vectors 3D & Lines Volume of a 3D Solid
In rectangular parallelepiped $A B C D - A _ { 1 } B _ { 1 } C _ { 1 } D _ { 1 }$, $A B = B C = 2$, and the angle between $A C _ { 1 }$ and plane $B B _ { 1 } C _ { 1 } C$ is $30 ^ { \circ }$. Then the volume of the rectangular parallelepiped is
A. 8
B. $6 \sqrt { 2 }$
C. $8 \sqrt { 2 }$
D. $8 \sqrt { 3 }$
In rectangular parallelepiped $A B C D - A _ { 1 } B _ { 1 } C _ { 1 } D _ { 1 }$, $A B = B C = 2$, and the angle between $A C _ { 1 }$ and plane $B B _ { 1 } C _ { 1 } C$ is $30 ^ { \circ }$. Then the volume of the rectangular parallelepiped is

A. 8\\
B. $6 \sqrt { 2 }$\\
C. $8 \sqrt { 2 }$\\
D. $8 \sqrt { 3 }$