To determine how many fluid ounces are in a 511 mL soda bottle, follow these steps, converting the volume from milliliters to liters, then to gallons, and finally to fluid ounces.
1. Convert milliliters to liters:
The volume of the bottle is 511 milliliters (mL). Given that 1 liter = 1000 milliliters, we convert this to liters by using the following relationship:
[tex]\[
\text{Volume in liters} = \frac{\text{Volume in milliliters}}{1000}
\][/tex]
[tex]\[
\text{Volume in liters} = \frac{511}{1000} = 0.511 \text{ liters}
\][/tex]
2. Convert liters to gallons:
We know that 1 gallon is approximately 3.785 liters. To convert 0.511 liters to gallons, use the conversion factor:
[tex]\[
\text{Volume in gallons} = \frac{\text{Volume in liters}}{3.785}
\][/tex]
[tex]\[
\text{Volume in gallons} \approx \frac{0.511}{3.785} \approx 0.135 \text{ gallons}
\][/tex]
3. Convert gallons to fluid ounces:
Given that 1 gallon equals 128 fluid ounces, we can find the volume in fluid ounces by multiplying the volume in gallons by this conversion factor:
[tex]\[
\text{Volume in fluid ounces} = \text{Volume in gallons} \times 128
\][/tex]
[tex]\[
\text{Volume in fluid ounces} \approx 0.135 \times 128 \approx 17.28 \text{ fluid ounces}
\][/tex]
Thus, the volume of the soda bottle is approximately [tex]\( \boxed{17.28} \)[/tex] fluid ounces.
