College

Rebekah finds that a solution of sugar in water has a volume of [tex]$1.32 \, \text{fl. oz.}$[/tex]. How should she report this amount using the metric system? (1 fl. oz. = 29.6 mL)

A. 0.403 m
B. 1.40 qt
C. 37.5 g
D. 39.1 mL

Answer :

To convert the volume from fluid ounces to milliliters, we can use the conversion factor that 1 fluid ounce (fl. oz.) is equal to 29.6 milliliters (mL).

Here's how to convert 1.32 fl. oz. to mL:

1. Identify the Conversion Factor: We know that 1 fl. oz. equals 29.6 mL.

2. Multiply the Volume in Fl. oz. by the Conversion Factor:
[tex]\[
\text{Volume in mL} = 1.32 \, \text{fl. oz.} \times 29.6 \, \text{mL/fl. oz.}
\][/tex]

3. Calculate the Result: When you multiply these numbers, you get:
[tex]\[
39.072 \, \text{mL}
\][/tex]

Rebekah should report the volume as approximately 39.1 mL in the metric system, rounding to one decimal place to match typical measurement precision. Thus, the correct answer choice is 39.1 mL.