To convert cubic centimeters to fluid ounces, we use the conversion factor that defines how many fluid ounces are equivalent to one cubic centimeter. The conversion factor given is that 1 cubic centimeter is equal to 0.033814 fluid ounces.
Here are the steps to convert 6 cubic centimeters to fluid ounces:
1. Determine the volume in cubic centimeters you want to convert (in this case, 6 cm³).
2. Identify the conversion factor from cubic centimeters to fluid ounces (0.033814 fl oz per 1 cm³).
3. Multiply the volume in cubic centimeters by the conversion factor to convert to fluid ounces:
\[ \text{Volume in fluid ounces} = \text{Volume in cubic centimeters} \times \text{Conversion factor} \]
4. Substitute the known values into the formula:
\[ \text{Volume in fluid ounces} = 6 \text{cm³} \times 0.033814 \text{fl oz/cm³} \]
5. Calculate the product to find the volume in fluid ounces:
\[ \text{Volume in fluid ounces} = 0.202884 \text{fl oz} \]
6. Round the result to the nearest thousandth:
\[ \text{Volume in fluid ounces} \approx 0.203 \text{fl oz} \]
Therefore, 6 cubic centimeters is approximately 0.203 fluid ounces when rounded to the nearest thousandth.