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 fluid ounces is 6 quarts of water? round your answer to the nearest tenth.
□ fl oz.

Explanation:

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 conversion factor. Let \(x\) be the number of liters. Then \(x=\frac{6}{1.057}\) (since we need to divide quarts by the number of quarts per liter to get liters). Calculating this, \(x\approx\frac{6}{1.057}\approx5.676\,\text{L}\).

Step2: Convert liters to fluid ounces

We know that \(1\,\text{fl oz}=0.030\,\text{L}\), so we can rewrite this as \(1\,\text{L}=\frac{1}{0.030}\,\text{fl oz}\approx33.333\,\text{fl oz per L}\). Now, multiply the number of liters (from Step1) by the conversion factor to get fluid ounces. So, \(5.676\,\text{L}\times33.333\,\text{fl oz/L}\approx189.2\,\text{fl oz}\) (after rounding to the nearest tenth). Wait, let's do it more accurately. Alternatively, since \(1\,\text{fl oz}=0.030\,\text{L}\), then the number of fluid ounces \(y\) is given by \(y = \frac{\text{liters}}{0.030}\). From Step1, liters are \(\frac{6}{1.057}\), so \(y=\frac{6}{1.057\times0.030}\). Let's compute the denominator first: \(1.057\times0.030 = 0.03171\). Then \(y=\frac{6}{0.03171}\approx189.2\).

Answer:

\(189.2\)