Mathematics, 09.11.2020 16:20 mohayon2020
Find the volume of the tetrahedron with the given vertices. (4, 0, 0), (0, 4, 0), (0, 0, 1), (4, 4, 1)
Answers: 2
= (0,4,0) - (4,0,0) = (-4, 4, 0)
(0,0,1) - (0,4,0) = (0, -4, 1)
= (4,4,1) - (0,0,1) = (4, 4, 0)
![V = \dfrac{1}{6}\bigg [ -4(-4 *0 - 1*4) -4(0*0-1*4) +0(0*4--4*4) \bigg ]](/tpl/images/0880/0509/2bac7.png)
![V = \dfrac{1}{6}\bigg [ -4(0 - 4) -4(0-4) +0(0+16) \bigg ]](/tpl/images/0880/0509/2d676.png)
![V = \dfrac{1}{6}\bigg [ 16 + 16 +0 \bigg ]](/tpl/images/0880/0509/8f1d9.png)
![V = \dfrac{1}{6}\bigg [ 32 \bigg ]](/tpl/images/0880/0509/0db76.png)
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Find the volume of the tetrahedron with the given vertices. (4, 0, 0), (0, 4, 0), (0, 0, 1), (4, 4,...
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