Volume using Triple Iterated Integrals

[jegues]

Homework Statement

Set up but do not evaluate a triple iterated integral to evaluate,

\int \int \int_{V} dV

where B is a region in R^{3} bounded by the planes,

z=0, z=3x, x+z =4, y=0, y=2.

Homework Equations

The Attempt at a Solution

I'm just curious to see if what I've come up with as an answer is correct or not.

Can somebody please quickly check my answer?

Thanks again!

 

[jackmell]

Looks ok to me. You can check your answer by just calculating the volume of that prism (1/2 bh)2=12