Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find the volume of the pyramid
![Title: Understanding the Volume of a Pyramid
**Diagram Explanation:**
The diagram represents a pyramid with the following dimensions:
- The height (h) of the pyramid is 15 meters (m).
- The area of the base (B) is 12 square meters (m²).
**Calculating the Volume of a Pyramid:**
To calculate the volume (V) of a pyramid, you can use the following formula:
\[ V = \frac{1}{3} \times B \times h \]
Where:
- \( B \) is the area of the base.
- \( h \) is the height of the pyramid.
In this example:
- \( B = 12 \, m² \)
- \( h = 15 \, m \)
By substituting these values into the formula, we get:
\[ V = \frac{1}{3} \times 12 \, m² \times 15 \, m \]
\[ V = \frac{1}{3} \times 180 \, m³ \]
\[ V = 60 \, m³ \]
Therefore, the volume of the pyramid is \( 60 \, m³ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82116038-0f0c-41e8-b888-99856dc88351%2Fb7ad54a3-f274-4987-a1a4-374c19e5eb74%2F1twn49_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Understanding the Volume of a Pyramid
**Diagram Explanation:**
The diagram represents a pyramid with the following dimensions:
- The height (h) of the pyramid is 15 meters (m).
- The area of the base (B) is 12 square meters (m²).
**Calculating the Volume of a Pyramid:**
To calculate the volume (V) of a pyramid, you can use the following formula:
\[ V = \frac{1}{3} \times B \times h \]
Where:
- \( B \) is the area of the base.
- \( h \) is the height of the pyramid.
In this example:
- \( B = 12 \, m² \)
- \( h = 15 \, m \)
By substituting these values into the formula, we get:
\[ V = \frac{1}{3} \times 12 \, m² \times 15 \, m \]
\[ V = \frac{1}{3} \times 180 \, m³ \]
\[ V = 60 \, m³ \]
Therefore, the volume of the pyramid is \( 60 \, m³ \).
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