Chapter 5.2, Problem 50E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Find the volume of the described solid *S*.

A frustum of a pyramid with square base of *b* square top of side *a*, and height *h*

What happens if

To determine

**To find:**

The volume of a frustum of a pyramid with square base of side

Explanation

**1) Concept:**

Definition of volume:

Let S be a solid that lies between

**2) Given:**

Side of Base Squareis

**3) Calculations:**

From the above figure

By property of similarity of triangles

From the figure, substitute the values

Solving for

Thus, the cross sectional area of the solid is given by

From the figure, limits of integral are from

So the volume of frustum is

After expanding the square term

After integrating

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