Often, instead of using cubic inches or centimeters for volume, we use cups, quarts, or liters to measure volume. The following videos show, first, different conversion factors between measures of volume, and second, an example of a volume conversion.

Unit Conversions for Volume

Video Source (06:46 mins) | Transcript

Example of Using Unit Conversions for Volume

Video Source (05:46 mins) | Transcript

Steps for Volume Unit Conversions

- Start with what you know.
- Determine what you want to get in the end. (Figure out what the end units should be.)
- Determine what conversion factor(s) to use. You may sometimes need more than one.
- Multiply by 1 in the form of the conversion factor that cancels out the unwanted units.

## Additional Resources

- Khan Academy: Converting Units: US Volume (05:16 mins; Transcript)
- Khan Academy: Measuring Volume with Unit Cubes (02:12 mins; Transcript)
- Khan Academy: U.S. Units: Volume (07:21 mins; Transcript)
- Khan Academy: Conversion Between Metric Units (5:37 mins; Transcript)

### Practice Problems

1. A wooden block has a volume of 210 cubic centimeters (\(\text {cm}^3\)). Use the fact that 1 inch is approximately equal to 2.54 cm to convert this volume to cubic inches (\(\text {in}^3\)). Round your answer to the nearest tenth.\(\text{(1 in)}^{3}=\text{(2.54 cm)}^{3}\) (

Solution

\(\text{(1 ft)}^3 = \text{(0.3048 m)}^3 \) (

Solution

Solution

\(2\:\text{m}\times3\:\text{m}\times5\:\text{m}=30\:\text{m}^{3}\)

\(\text{(1 yd)}^{3}=\text{(0.9144 m)}^{3}\) (

Solution

Solution

\(\text{(1 ft)}^{3}\) = \(\text{(0.3048 m)}^{3}\) (

Solution

## Need More Help?

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