I have that P is the tangent plane to the surface xyz=a[tex]^{3}[/tex] at the point (r,s,t). I need to show that the volume of the tetrahedron, T, formed by the coordinate planes and the tangent plane to P is indepedent of the point (r,s,t).(adsbygoogle = window.adsbygoogle || []).push({});

I have found that P is;

[tex]\frac{x}{r}[/tex] + [tex]\frac{y}{s}[/tex] + [tex]\frac{z}{t}[/tex] = 3

A know that the volume of a tetrahedron is giving by 1/3(area of base [tex]\times[/tex] height)

But I just can't picture what this looks like, as far as I can see the volume of T has to be dependent of the point (r,s,t).

Any help anyone could give would be great! Thanks.

**Physics Forums - The Fusion of Science and Community**

# Volume of tetrahedra formed from coordinate and tangent planes

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Volume of tetrahedra formed from coordinate and tangent planes

Loading...

**Physics Forums - The Fusion of Science and Community**