Explanation Given information: The pyramid with height h and rectangular base with dimensions b and 2 b . Show the dimensions of the pyramid as in Figure 1. Refer to Figure 1. For the cross section, by using similar triangles for the base dimension of b , y b = x h y = b h x The region lies between a = 0 and b = h . Calculation: The expression to find the volume of the pyramid as shown below. V = ∫ a b A ( x ) d x (1) Find the area of the pyramid as shown below. A ( x ) = 2 y × y = 2 × b h x × b h x = 2 b 2 h 2 x 2

Single Variable Calculus: Early Transcendentals

8th Edition

ISBN: 9781305270336

Author: James Stewart

Publisher: Cengage Learning

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Question

Chapter 6.2, Problem 51E

To determine

To calculate: The volume of the described solid (pyramid).

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Chapter 6.2, Problem 50E

Chapter 6.2, Problem 52E

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Chapter 6 Solutions

Single Variable Calculus: Early Transcendentals

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