Example

Converting 500 Milliliters to Ounces Using a Cross-System Conversion Factor

To find how many ounces of water a 500500 mL bottle holds, apply the approximate cross-system equivalence 1 ounce30 milliliters1 \text{ ounce} \approx 30 \text{ milliliters}.

  1. Start with the given measurement: 500 mL500 \text{ mL}.
  2. Multiply by a unit conversion factor relating milliliters and ounces: 500 milliliters1 ounce30 milliliters500 \text{ milliliters} \cdot \frac{1 \text{ ounce}}{30 \text{ milliliters}}.
  3. Cancel the matching unit: The "milliliters" labels divide out, leaving only ounces.
  4. Simplify: 500 ounces30\frac{500 \text{ ounces}}{30}.
  5. Divide: 500÷3016.7500 \div 30 \approx 16.7 ounces (rounded to the nearest tenth).

The water bottle holds approximately 16.716.7 ounces. This example demonstrates a metric-to-US capacity conversion using dimensional analysis with an approximate conversion factor, followed by rounding the result.

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Updated 2026-04-21

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