4) Install a Hot Tub The hot tub you've installed iIs 75 feet wide, 85 feet long and 36 inches deep. One gallon of water flls 0.134 cubic feet. O Make a sketch of the hot tub and label its dimensions. O Calculate how many gallons of water are needed to fll the tub. a
4) Install a Hot Tub The hot tub you've installed iIs 75 feet wide, 85 feet long and 36 inches deep. One gallon of water flls 0.134 cubic feet. O Make a sketch of the hot tub and label its dimensions. O Calculate how many gallons of water are needed to fll the tub. a
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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Show all work please
![### Task: Install a Hot Tub
The hot tub you've installed is 7.5 feet wide, 8.5 feet long, and 36 inches deep. One gallon of water fills 0.134 cubic feet.
#### Instructions:
1. **Make a sketch of the hot tub and label its dimensions.**
- Width: 7.5 feet
- Length: 8.5 feet
- Depth: 36 inches (Note: Ensure you convert the depth from inches to feet for all calculations involving volume.)
2. **Calculate how many gallons of water are needed to fill the tub.**
- **Step 1:** Convert the depth from inches to feet.
\[
36 \, \text{inches} = 3 \, \text{feet}
\]
- **Step 2:** Calculate the volume of the hot tub in cubic feet.
\[
\text{Volume} = \text{width} \times \text{length} \times \text{depth}
\]
\[
\text{Volume} = 7.5 \, \text{ft} \times 8.5 \, \text{ft} \times 3 \, \text{ft}
\]
\[
\text{Volume} = 191.25 \, \text{cubic feet}
\]
- **Step 3:** Convert the volume from cubic feet to gallons.
\[
\text{Gallons} = \frac{\text{Volume in cubic feet}}{\text{Volume per gallon}}
\]
\[
\text{Gallons} = \frac{191.25 \, \text{cubic feet}}{0.134 \, \text{cubic feet per gallon}}
\]
\[
\text{Gallons} \approx 1427.61 \, \text{gallons}
\]
#### Result:
Approximately 1427.61 gallons of water are needed to fill the hot tub.
(Note: Ensure to round your answer to a suitable number of decimal places based on the context of the problem.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd2521d0-c674-4d63-bf4c-77b24dc07a7d%2Fcf44aafb-f926-4b46-a887-bca77afe48fb%2F4iufwf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Task: Install a Hot Tub
The hot tub you've installed is 7.5 feet wide, 8.5 feet long, and 36 inches deep. One gallon of water fills 0.134 cubic feet.
#### Instructions:
1. **Make a sketch of the hot tub and label its dimensions.**
- Width: 7.5 feet
- Length: 8.5 feet
- Depth: 36 inches (Note: Ensure you convert the depth from inches to feet for all calculations involving volume.)
2. **Calculate how many gallons of water are needed to fill the tub.**
- **Step 1:** Convert the depth from inches to feet.
\[
36 \, \text{inches} = 3 \, \text{feet}
\]
- **Step 2:** Calculate the volume of the hot tub in cubic feet.
\[
\text{Volume} = \text{width} \times \text{length} \times \text{depth}
\]
\[
\text{Volume} = 7.5 \, \text{ft} \times 8.5 \, \text{ft} \times 3 \, \text{ft}
\]
\[
\text{Volume} = 191.25 \, \text{cubic feet}
\]
- **Step 3:** Convert the volume from cubic feet to gallons.
\[
\text{Gallons} = \frac{\text{Volume in cubic feet}}{\text{Volume per gallon}}
\]
\[
\text{Gallons} = \frac{191.25 \, \text{cubic feet}}{0.134 \, \text{cubic feet per gallon}}
\]
\[
\text{Gallons} \approx 1427.61 \, \text{gallons}
\]
#### Result:
Approximately 1427.61 gallons of water are needed to fill the hot tub.
(Note: Ensure to round your answer to a suitable number of decimal places based on the context of the problem.)
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