Question

Find the volume of the parallelepiped with the given vertices:

A(0,0,0) B(4,0,0) C(4,-2,3) D(0,-2,3)
E(4,5,3) F(0,5,3) G(0,3,6) H(4,3,6)

Answer 1

in ABCD, let
u = B-A = (4,0,0)
v = D-A = (0,-2,3)
Now using the other parallel face,
w = E-A = (4,5,3)

volume is u×v•w

Answer 2

Thank you so very much!

Answer 3

hmmm. better check that I have the right points of EFGH corresponding to ABCD