Cubic centimeters ( cm^{3} ) and liters ( L ) are both metric units of volume. Converting between these two units is a rather straightforward problem. These two example problems will show how to convert cm^{3} to liters and liters to cm^{3}.

### cm^{3} to Liters Conversion Factor

To convert between cm^{3} and liters, it is helpful to know that a cm^{3} is the same as a milliliter ( mL ).

1 cm^{3} = 1 mL

and the conversion factor between milliliters and liters is

1000 mL = 1 L

Therefore the conversion factor between cm^{3} and L is

1000 cm^{3} = 1 L

### cm^{3} to Liter Conversion Example

**Question:** How many liters are in a cube with 50 cm sides?

**Solution:** First, let’s see how many cubic centimeters are in the cube.

The volume of a cube = (side length)^{3}

Volume = (50 cm)^{3}

Volume = 125,000 cm^{3}

Use the conversion factor to change this to liters. Put the unwanted unit in the denominator.

This allows us to cancel out the unwanted cm^{3} units and leave only the liters unit we need.

125,000 cm^{3} = 125 liters

**Answer:** There are 125 liters in a cube with 50 cm sides.

### Liter to cm^{3} Conversion Example

**Question:** How many cubic centimeters are in a half-liter water bottle?

**Solution:** Use the conversion factor again with the liters unit in the denominator.

Note the liters units cancel out, leaving the desired cm3 unit.

0.5 L = 500 cm^{3}

**Answer:** There are 500 cm3 in a half-liter water bottle.

Notice the “trick” to these problems is to set up the conversion factor so the undesired unit cancels out.

Another useful habit to get is to make sure you put a leading zero if your measurements are less than 1, like our half-liter example. One of the most common careless mistakes is losing your decimal place. It is all too easy to look at .5 L and see 5 L.

### Volume Unit Conversion Example Problems

- Gallon to Liter Conversion Example
- Fluid Ounce to Milliliter Conversion Example
- Cubic Feet to Liters Conversion Example