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

Find exactly the volume in the first octant under the planes x + z =1 and y + z =1. Find the mass if the density is p(x,y,z)=xyz.

3. The attempt at a solution

This is a pyramid in shape, so for the volume, rather than constructing a double integral, I used the formula V= Bh/3 which is equal to 1/3.

Please see the jpg file for the work on finding the mass.

Where did I go wrong? It came out to be 0.

I tried reversing the z limits and that didn't do anything.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Volume and Mass of an object using integration

**Physics Forums | Science Articles, Homework Help, Discussion**