Question

check your understanding
1 fluid ounce (fl oz) = 0.030 liters (l)
1 liter (l) = 1.057 quarts (qt)
1 fluid ounce (fl oz) = 28.413 milliliters (ml)
using the unit conversions above, how many milliliters is 12.5 quarts of water? round your answer to the nearest tenth.
_____ ml

Explanation:

Step1: Convert quarts to liters

We know that \(1\ \text{L} = 1.057\ \text{qt}\), so to find the number of liters in \(12.5\ \text{qt}\), we use the conversion factor \(\frac{1\ \text{L}}{1.057\ \text{qt}}\).
\(12.5\ \text{qt} \times \frac{1\ \text{L}}{1.057\ \text{qt}} \approx 11.826\ \text{L}\)

Step2: Convert liters to fluid ounces

We know that \(1\ \text{fl oz} = 0.030\ \text{L}\), so the conversion factor is \(\frac{1\ \text{fl oz}}{0.030\ \text{L}}\).
\(11.826\ \text{L} \times \frac{1\ \text{fl oz}}{0.030\ \text{L}} \approx 394.2\ \text{fl oz}\)

Step3: Convert fluid ounces to milliliters

We know that \(1\ \text{fl oz} = 28.413\ \text{mL}\), so the conversion factor is \(28.413\ \text{mL/fl oz}\).
\(394.2\ \text{fl oz} \times 28.413\ \text{mL/fl oz} \approx 11200.0\ \text{mL}\) (rounded to the nearest tenth)

Answer:

\(11200.0\)