Question

reference the conversion below to determine how many liters are in 10.0 quarts. 1 gallon = 4.00 quart 1.00 gallon = 3.78541 liters ○ 9460 l ○ 9.46 l ○ 10.6 l ○ 1060 l

Explanation:

Step1: Convert quarts to gallons

We know that 1 gallon = 4.00 quarts. So to find out how many gallons are in 10.0 quarts, we use the conversion factor. Let \( x \) be the number of gallons in 10.0 quarts. Then \( x=\frac{10.0\ \text{quarts}}{4.00\ \text{quarts/gallon}} \).
Calculating this, \( x = 2.5\ \text{gallons} \).

Step2: Convert gallons to liters

We know that 1.00 gallon = 3.78541 liters. So to find the number of liters in 2.5 gallons, we multiply the number of gallons by the conversion factor. Let \( y \) be the number of liters. Then \( y = 2.5\ \text{gallons} \times 3.78541\ \text{liters/gallon} \).
Calculating this, \( y=2.5\times3.78541 = 9.463525\approx9.46\ \text{liters} \).

Answer:

9.46 L