Use the table, along with dimensional analysis, to convert the given unit to the unit indicated. 15,000 ft³ to gal gal (Round to the nearest hundredth as needed.) 2 pints (pt) 4 quarts 1 gallon 1 cup (c) T Volume in Cubic Units 1 cubic yard 1 cubic foot 231 cubic inches = 1 quart (qt) = 1 gallon (gal) = 128 ounces (oz) = 8 ounces Capacity about 200 gallons about 7.48 gallons about 1 gallon
Use the table, along with dimensional analysis, to convert the given unit to the unit indicated. 15,000 ft³ to gal gal (Round to the nearest hundredth as needed.) 2 pints (pt) 4 quarts 1 gallon 1 cup (c) T Volume in Cubic Units 1 cubic yard 1 cubic foot 231 cubic inches = 1 quart (qt) = 1 gallon (gal) = 128 ounces (oz) = 8 ounces Capacity about 200 gallons about 7.48 gallons about 1 gallon
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Converting Cubic Feet to Gallons Using Dimensional Analysis**
To convert 15,000 cubic feet to gallons, utilize the provided conversion table along with dimensional analysis.
**Conversion Factors:**
- 2 pints (pt) = 1 quart (qt)
- 4 quarts = 1 gallon (gal)
- 1 gallon = 128 ounces (oz)
- 1 cup (c) = 8 ounces
**Volume in Cubic Units and Their Capacities:**
- 1 cubic yard = about 200 gallons
- 1 cubic foot = about 7.48 gallons
- 231 cubic inches = about 1 gallon
**Conversion Process:**
Given 15,000 cubic feet, use the conversion factor from cubic feet to gallons:
\[ \text{15,000 cubic feet} \times \frac{7.48 \text{ gallons}}{1 \text{ cubic foot}} \]
Calculate and round the result to the nearest hundredth as needed.
\[ \boxed{\phantom{\text{gal (Round to the nearest hundredth as needed.)}}}\]
This process effectively demonstrates how to convert from one volume unit to another by multiplying with appropriate conversion factors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9d23aa5-ac37-4015-8b63-d963ab01f4b6%2Fafc3930b-aabb-4c55-89da-40e62b0c1dde%2F4okdntb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Converting Cubic Feet to Gallons Using Dimensional Analysis**
To convert 15,000 cubic feet to gallons, utilize the provided conversion table along with dimensional analysis.
**Conversion Factors:**
- 2 pints (pt) = 1 quart (qt)
- 4 quarts = 1 gallon (gal)
- 1 gallon = 128 ounces (oz)
- 1 cup (c) = 8 ounces
**Volume in Cubic Units and Their Capacities:**
- 1 cubic yard = about 200 gallons
- 1 cubic foot = about 7.48 gallons
- 231 cubic inches = about 1 gallon
**Conversion Process:**
Given 15,000 cubic feet, use the conversion factor from cubic feet to gallons:
\[ \text{15,000 cubic feet} \times \frac{7.48 \text{ gallons}}{1 \text{ cubic foot}} \]
Calculate and round the result to the nearest hundredth as needed.
\[ \boxed{\phantom{\text{gal (Round to the nearest hundredth as needed.)}}}\]
This process effectively demonstrates how to convert from one volume unit to another by multiplying with appropriate conversion factors.
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