4. Use triple integral to find the volume of the tetrahedron bounded by the four planes x = 0, y = 0, z = 0, and 2x + 3y + 6z = 12.
Added by Christina J.
Close
Step 1
The integral setup is as follows: \[ \text{Volume} = \int_{0}^{6} \int_{0}^{4 - \frac{2}{3}x} \int_{0}^{2 - \frac{1}{2}y - \frac{1}{3}x} dz \, dy \, dx \] ** Show more…
Show all steps
Your feedback will help us improve your experience
Israel Hernandez and 66 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
4. Find the volume of the tetrahedron bounded by the planes x + y + z = 1, x = y, x = 0 and z = 0. Sketch the region of integration before doing the integration.
Madhur L.
Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane $ 2x + y + z = 4 $
Multiple Integrals
Triple Integrals
$19-22$ Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane $2 x+y+z=4$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD