assist explain this

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Please assist explain this volume. 

**Calculate the volume of the square pyramid.**

The image shows a square pyramid with a base length of 10 feet and a height of 13 feet. 

To calculate the volume of a square pyramid, use the formula:

\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]

1. **Base Area**: Since the base is a square, calculate the area as follows:
   \[ \text{Base Area} = \text{side}^2 = 10 \, \text{ft} \times 10 \, \text{ft} = 100 \, \text{ft}^2 \]

2. **Volume Calculation**:
   \[ V = \frac{1}{3} \times 100 \, \text{ft}^2 \times 13 \, \text{ft} = \frac{1300}{3} \, \text{ft}^3 \approx 433.33 \, \text{ft}^3 \]

The volume of the square pyramid is approximately 433.33 cubic feet.
Transcribed Image Text:**Calculate the volume of the square pyramid.** The image shows a square pyramid with a base length of 10 feet and a height of 13 feet. To calculate the volume of a square pyramid, use the formula: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \] 1. **Base Area**: Since the base is a square, calculate the area as follows: \[ \text{Base Area} = \text{side}^2 = 10 \, \text{ft} \times 10 \, \text{ft} = 100 \, \text{ft}^2 \] 2. **Volume Calculation**: \[ V = \frac{1}{3} \times 100 \, \text{ft}^2 \times 13 \, \text{ft} = \frac{1300}{3} \, \text{ft}^3 \approx 433.33 \, \text{ft}^3 \] The volume of the square pyramid is approximately 433.33 cubic feet.
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