To solve this problem, we'll use the provided conversion factors step by step. We need to convert 1 fluid ounce (oz) into milliliters (mL). Here are the steps:

Given Conversion Factors:

1. $1 \text{ gallon (gal)} = 128 \text{ oz}$
2. $3.785 \times 10^{-3} \text{ cubic meters (m}^3) = 1 \text{ gallon (gal)}$
3. $1 \text{ mL} = 10^{-6} \text{ cubic meters (m}^3)$

Step-by-Step Conversion:

1. Convert ounces to gallons:

   Since 1 gallon = 128 oz, $1 \text{ oz} = \frac{1}{128} \text{ gal}$

2. Convert gallons to cubic meters:

   Since $1 \text{ gal} = 3.785 \times 10^{-3} \text{ m}^3$, $1 \text{ oz} = \frac{1}{128} \times 3.785 \times 10^{-3} \text{ m}^3$

   Simplifying this: $1 \text{ oz} = \frac{3.785 \times 10^{-3}}{128} \text{ m}^3$

   Calculating the value: $1 \text{ oz} \approx 2.95703125 \times 10^{-5} \text{ m}^3$

3. Convert cubic meters to milliliters:

   Since $1 \text{ mL} = 10^{-6} \text{ m}^3$, $1 \text{ oz} = \frac{2.95703125 \times 10^{-5}}{10^{-6}} \text{ mL}$ $1 \text{ oz} \approx 29.57 \text{ mL}$

Conclusion:

There are approximately 29.57 milliliters (mL) in one fluid ounce (oz).

Would you like more details, or do you have any questions?

Related Questions:

1. How would you convert milliliters to ounces?
2. If a container holds 50 mL, how many fluid ounces is that?
3. What is the conversion factor between cubic inches and cubic meters?
4. How many fluid ounces are there in a gallon?
5. What is the volume in cubic centimeters for one fluid ounce?

Tip:

When converting units, it's helpful to work through the problem step-by-step, ensuring each conversion factor is applied correctly. This reduces the chance of making errors in complex calculations.