Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 6x + y + z = 4
Added by Joaquin S.
Step 1
This will give us the vertices of the tetrahedron. Setting y = z = 0, we get x = 4/6 = 2/3. Setting x = z = 0, we get y = 4. Setting x = y = 0, we get z = 4. So, the vertices of the tetrahedron are (2/3, 0, 0), (0, 4, 0), and (0, 0, 4). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Israel Hernandez and 91 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
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 = 5
Linda H.
Find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane $ 2x + y + z = 4 $
Multiple Integrals
Double Integrals over General Regions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD