Concept explainers
To calculate: The volume of the described solid (pyramid).
Answer to Problem 35E
The volume of the pyramid is
Explanation of Solution
Given information:
The pyramid with height h and rectangular base with dimensions b and 2b.
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,
The region lies between
Calculation:
The expression to find the volume of the pyramid as shown below.
Find the area of the pyramid as shown below.
Substitute 0 for a, h for b, and
Therefore, the volume of the pyramid is
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition