Answer :
Final answer:
the correct answer is b. To convert 70,000 cubic feet to gallons using dimensional analysis, multiply 70,000 ft³ by the conversion factor of 7.48 gallons per cubic foot, resulting in 523,600 gallons.
Explanation:
The student is asking how to convert 70,000 cubic feet (ft³) into gallons using dimensional analysis. To do this correctly, we need the conversion factor between cubic feet and gallons. In this instance, we know that 1 cubic foot equals approximately 7.48 gallons.
To convert 70,000 ft³ into gallons, we would set up our dimensional analysis as follows:
- Write down the quantity you want to convert (in this case, 70,000 ft³).
- Write the conversion factor as a fraction that will cancel out the unwanted unit (ft³) and introduce the desired unit (gallons).
- Multiply the quantity by this conversion factor.
Executing these steps:
70,000 ft³ × (7.48 gallons / 1 ft³) = 523,600 gallons
Therefore, the correct answer is (b) 523,600 gallons.
