Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through ​, ​, and .

Plane passing through ...

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LammettHash 1 year ago
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Let's assume a plane

with each of a, b, and c greater than 0. Then the plane has intercepts with coordinates

The volume of the tetrahedron is then

i.e. 1/6 times the product of the intercepts' non-zero coordinates

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