ne volume of the following figure, If needed, round to the nearest hundredth. 134,073.33 m 85 m 402,220 m3 201,110 m 91 m 4,732 m3 52 m CLEAR ALL
ne volume of the following figure, If needed, round to the nearest hundredth. 134,073.33 m 85 m 402,220 m3 201,110 m 91 m 4,732 m3 52 m CLEAR ALL
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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Question
![**Calculating the Volume of a Pyramid**
To solve for the volume of the given figure, follow these steps:
1. **Identify the measurements of the pyramid:**
- **Base length (l):** 91 m
- **Base width (w):** 52 m
- **Height (h):** 85 m
2. **Formula for the volume of a pyramid:**
The volume (V) of a pyramid can be calculated using the formula:
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
The base area is the area of the rectangle at the bottom of the pyramid, which can be calculated using:
\[
\text{Base Area} = l \times w
\]
Thus, the formula for the volume becomes:
\[
V = \frac{1}{3} \times l \times w \times h
\]
3. **Substitute the values into the volume formula:**
\[
V = \frac{1}{3} \times 91 \, \text{m} \times 52 \, \text{m} \times 85 \, \text{m}
\]
4. **Calculate the volume:**
\[
V = \frac{1}{3} \times 91 \times 52 \times 85
\]
\[
V \approx 134,073.33 \, \text{m}^3
\]
**Question: Find the volume of the following figure. If needed, round to the nearest hundredth.**
**Options:**
- \( \boxed{134,073.33 \, \text{m}^3} \)
- \( 402,220 \, \text{m}^3 \)
- \( 201,110 \, \text{m}^3 \)
- \( 4,732 \, \text{m}^3 \)
**Diagram Explanation:**
The diagram shows a 3D representation of a pyramid. The base of the pyramid is a rectangle with a length of 91 meters and a width of 52 meters. The height of the pyramid, which is the perpendicular distance from the base to the apex, is 85 meters.
By following the steps](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6933ea1c-5ec8-40e4-9b1e-dacdd0a9a090%2F1236c324-369d-4f47-a793-65acae2e2868%2Fkqa2q7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculating the Volume of a Pyramid**
To solve for the volume of the given figure, follow these steps:
1. **Identify the measurements of the pyramid:**
- **Base length (l):** 91 m
- **Base width (w):** 52 m
- **Height (h):** 85 m
2. **Formula for the volume of a pyramid:**
The volume (V) of a pyramid can be calculated using the formula:
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
The base area is the area of the rectangle at the bottom of the pyramid, which can be calculated using:
\[
\text{Base Area} = l \times w
\]
Thus, the formula for the volume becomes:
\[
V = \frac{1}{3} \times l \times w \times h
\]
3. **Substitute the values into the volume formula:**
\[
V = \frac{1}{3} \times 91 \, \text{m} \times 52 \, \text{m} \times 85 \, \text{m}
\]
4. **Calculate the volume:**
\[
V = \frac{1}{3} \times 91 \times 52 \times 85
\]
\[
V \approx 134,073.33 \, \text{m}^3
\]
**Question: Find the volume of the following figure. If needed, round to the nearest hundredth.**
**Options:**
- \( \boxed{134,073.33 \, \text{m}^3} \)
- \( 402,220 \, \text{m}^3 \)
- \( 201,110 \, \text{m}^3 \)
- \( 4,732 \, \text{m}^3 \)
**Diagram Explanation:**
The diagram shows a 3D representation of a pyramid. The base of the pyramid is a rectangle with a length of 91 meters and a width of 52 meters. The height of the pyramid, which is the perpendicular distance from the base to the apex, is 85 meters.
By following the steps
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