1. Find the volume of the parallelepiped with the vertices in the given order: (0, 0, 0), (3, 0, 0), (0, 5, 1), (2, 0 , 5), (3, 5, 1), (5, 0, 5), (2, 5, 6), and (5, 5, 6). Sketch the solid.
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Expert's answer
2020-04-20T18:36:56-0400
Volume(since this is the parallelepiped) = abc, where
a = distance((5,0,5), (2,0,5)) = 3
b = distance ((2,0,5), (2,5,6)) = (2−2)2+(0−5)2+(5−6)2=26
c = distance ((5,0,5), (3,0,0)) = =(5−3)2+(0−0)2+(5−0)2=29
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