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
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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.
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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