Chapter 15.2, Problem 27E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the volume of the given solid.

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

To determine

**To find:** The volume of the solid that enclosed by the coordinate planes*.*

Explanation

**Given:**

The coordinate planes are,

**Formula used:**

The volume of the solid,

**Calculation:**

The plane equation can be modified as
*y* varies from 0 to
*x* varies from 0 to 2. Thus, the volume of the solid is computed as follows.

First, compute the integral with respect to *y*.

Apply the limit value for *y*,

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