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Question
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 fluid ounces is 6 quarts of water? round your answer to the nearest tenth.
□ fl oz.
Step1: Convert quarts to liters
We know that \(1\ \text{L} = 1.057\ \text{qt}\), so to find the number of liters in 6 quarts, we use the formula \(\text{Liters} = \frac{\text{Quarts}}{1.057}\). Substituting 6 for quarts, we get \(\text{Liters} = \frac{6}{1.057}\approx 5.676\ \text{L}\).
Step2: Convert liters to fluid ounces
We know that \(1\ \text{fl oz} = 0.030\ \text{L}\), so to find the number of fluid ounces in \(5.676\ \text{L}\), we use the formula \(\text{Fluid Ounces} = \frac{\text{Liters}}{0.030}\). Substituting \(5.676\) for liters, we get \(\text{Fluid Ounces} = \frac{5.676}{0.030}= 189.2\ \text{fl oz}\) (rounded to the nearest tenth).
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\(189.2\)