Chapter 5.2, Problem 57E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Find the volume of the described solid *S*.

The base of *S* is the same base as in Exercise 56, but cross-sections perpendicular to the *x*-axis are squares.

To determine

**To find:**

The volume of a solid S whose base is the triangular region with vertices *x*-axis are squares.

Explanation

**1) Concept:**

Definition of volume:

Let S be a solid that lies between

**2) Given:**

Vertices of the base triangle are

**3) Calculations:**

A cross section represents the side

The base of the cross section corresponding to the point

The area of cross section that is the area of square is

Cross section are perpendicular to x-axis, therefore, we shall integrate cross sections with respect to x-axis

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