(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the volume of a tetrahedron with vertices (0,0,0) (0,0,1) (0,2,0) (2,2,0)

2. Relevant equations

3. The attempt at a solution

The tetrahedron is bounded by the functions z=1-x/4-x/4, z=1-y/2, and y=x

I integrated z=1-x/4-y/4 first and z=1-y/2 second and subtracted the result

(they were both negative so I subtracted the result from z=1-x/4-y/4 from z=1-y/2).

The limits of integration I used when integrating 1-x/4-y/4 were y<x<2 and 0<y<2

and for 1-y/2, y<x<2 and 0<y<2.

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# Homework Help: Volume of a tetrahedron

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