# Triple Integral

## Homework Statement

Evaluate the triple integral of xy*dxdydz where E is the solid tetrahedon with vertices (0,0,0) (10,0,0) (0,8,0) (0,0,5).

## The Attempt at a Solution

Im trying to integrate dx and dy with bounds from 0 to the line that describes them with respect to the z axis,

so for

dy i have the bounds as

0 to y= -8z/5 + 8

dx

0 to x= -2z + 10

and dz

0 to 5

will this work?

$$V=\int_0^{10}\int_0^{f(x)}\int_{0}^{g(x,y)} xy dzdydx$$