Volume/Calculus

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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)

  • Volume/Calculus -

    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

  • Volume/Calculus -

    Thank you so very much!

  • Volume/Calculus -

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

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