Find the volume of the parallelepiped with the given vertices $A ( 0,0,0 ) , B ( 0,0,2 ) , C ( 0,2,0 ) , D ( 2,0,0 ) , E ( 2,2,0 ) , F ( 2,0,2 ) , G ( 0,2,2 ) , H ( 2,2,2 )$
A)4 cubic units
B)8 cubic units
C)2 cubic units
D)16 cubic units
E) $2 \sqrt { 2 }$ cubic units

Question

Find the volume of the parallelepiped with the given vertices  $A ( 0,0,0 ) , B ( 0,0,2 ) , C ( 0,2,0 ) , D ( 2,0,0 ) , E ( 2,2,0 ) , F ( 2,0,2 ) , G ( 0,2,2 ) , H ( 2,2,2 )$ 
A)4 cubic units
B)8 cubic units
C)2 cubic units
D)16 cubic units
E) $2 \sqrt { 2 }$ cubic units

Quizplus · Accepted Answer

The volume of the parallelepiped can be found using the formula for the volume of a rectangular box, V = lwh, since the given vertices form a cube with side lengths of 2 units. Thus, V = 2*2*2 = 8 cubic units.