Chapter 15.6, Problem 19E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Use a triple integral to find the volume of the given solid.

**19.** The tetrahedron enclosed by the coordinate planes and the plane *2x* + *y + z* = 4

To determine

**To find:** The volume of the solid tetrahedron enclosed by the coordinate planes and the plane

Explanation

Let *E* be the region enclosed by the tetrahedron where

The volume of integral for the given tetrahedron is,

Integrate the given integral with respect to *z* and apply the limit of it.

Integrate the given integral with respect to *y* and apply the limit of it.

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