Chapter 15, Problem 37RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the volume of the given solid.

**37.** The solid tetrahedron with vertices (0, 0, 0), (0, 0, 1), (0, 2, 0), and (2, 2, 0)

To determine

**To find:** The volume of the given solid.

Explanation

**Given:**

The region *E* is the tetrahedron with vertices

**Formula used:**

The volume of the given solid is given by,

**Calculation:**

From the given conditions, it is observed that the equations of the planes which is the sides of the tetrahedron are

Integrate with respect to *z* and apply the limit.

Integrate with respect to *y* and apply the limit

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