How to Convert Convert cm3 to Liters


Fluid ounces to milliliter conversion example

cm3 to L conversion. How many cubic centimeters are in a water bottle?
Credit: Photo by Steve Johnson on Unsplash

Cubic centimeters ( cm3 ) 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 cm3 to liters and liters to cm3.

cm3 to Liters Conversion Factor

To convert between cm3 and liters, it is helpful to know that a cm3 is the same as a milliliter ( mL ).

1 cm3 = 1 mL

and the conversion factor between milliliters and liters is

1000 mL = 1 L

Therefore the conversion factor between cm3 and L is

1000 cm3 = 1 L

cm3 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 cm3

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

Convert cm3 to L Math Step 1

This allows us to cancel out the unwanted cm3 units and leave only the liters unit we need.

Convert cm3 to L Math Step 2

125,000 cm3 = 125 liters

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

Liter to cm3 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.

Convert cm3 to L Math Step 3

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

Convert cm3 to L Math Step 4

0.5 L = 500 cm3

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

 

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