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## Homework Statement

use triple integral to find the volume of tetrahedron enclosed by the coordinat planes "x=o , y=0 , z=0" and the plane 2x+y+z=0

## Homework Equations

## The Attempt at a Solution

I will integrate the constant function f(x,y,z)=1 by the order : dzdydx

the equation will be : z=-2x-y

so the limits for the inner integral will be from 0 to -2x-y

when z=0 ---> y=-2x

so the limits for the middle integral will be from 0 to -2x

THE PROBLEM HERE IS THAT

when z=0,y=0 ---> x=0 .. !

so the limits for the outer integral will be from 0 to 0 .. !

and this means the triple integral will be 0 .. !

so there is no volume ??!