Tripple integration

Calculus Level 3

Find the volume of the tetrahedron bounded by the coordinate planes and the plane 3 x + 6 y + 4 z − 12 = 0 3x+6y+4z-12=0 using tripple integration.


The answer is 4.

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Tom Engelsman
Nov 4, 2017

The desired triple integral equals:

V = ∫ 0 4 ∫ 0 2 − x / 2 ∫ 0 ( 12 − 3 x − 6 y ) / 4 d z d y d x = 4 . V = \int_{0}^{4} \int_{0}^{2 - x/2} \int_{0}^{(12 - 3x - 6y)/4} dz dy dx = \boxed{4}.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...