Cubic inches ( in^{3} ) and liters ( L ) are both units of volume. Cubic inches is an imperial unit still used in engineering and a liter is a metric unit adopted into the international SI units. These two example problems show how to convert in^{3} to L and L to in^{3}.

### in^{3} to L Conversion Factor

1 in^{3} = 0.16387 L

This is how you get that number. Use the conversion:

1 inch = 2.54 cm

Cube both of these values to get in^{3} and cm^{3}.

(1 in)^{3} = (2.54 cm)^{3}

1 in^{3} = 16.387 cm^{3}

cm^{3} is the same volume as mL, therefore:

1 in^{3} = 16.387 mL

There are 1000 mL in one liter.

1 L = 1000 mL

Use this to convert mL to L

1 in^{3} = 0.016387 L

### in^{3} to L Conversion Example Problem

**Question:** Many small car engines on the road have an engine displacement of 150 cubic inches. What is this volume in Liters?

**Solution:** Multiply the 150 in^{3} by the conversion factor where the undesired in^{3} unit is in the denominator.

This allows us to cancel out the in^{3} and leave only the L unit.

150 in^{3} = 2.46 L

**Answer:** An engine displacement of 150 in^{3} is equal to 2.46 Liters.

### L to in^{3} Conversion Example Problem

**Question:** Many modern V-8 engines are labeled as either 4.5 L or 5.0 L engines. How many cubic inches is a 5.0 L engine?

**Solution:** Multiply the 5.0 L by the conversion factor. This time, put the L unit in the denominator to cancel it out.

5.0 L = 305.1 in^{3}

**Answer:** A 5.0 L engine has a 305 in^{3} engine displacement.

The key to this type of problem is arranging your conversion factor to allow the unwanted unit to cancel out. A further detailed explanation of how this works can be found at How to Convert Between Units – The Ladder Method.