- #1
reddawg
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Homework Statement
Set up an integral to find the volume of the tetrahedron with vertices
(0,0,0), (2,1,0), (0,2,0), (0,0,3).
Homework Equations
The Attempt at a Solution
My method of solving this involves using a triple integral. The first step is deciding on the bounds of the triple integral. If you can envision the tetrahedron in the x, y, z plane:
The base of the tetrahedron has equations: y = x/2 and y = (4-x)/2
I know the bounds for x and y:
x goes from 0 to 2
y goes from (x/2) to (4-x)/2
How do I find the bounds for z? I need an equation relating z to x and y. . .