Converting Cubic Centimeters to Liters

This example problem demonstrates how to convert cubic centimeters to liters.

Problem:

What is the volume in liters of a cube with sides of 25 centimeters?

Solution:

First, find the volume of the cube.

**Note** Volume of a cube = (length of side)³
Volume in cm³ = (25 cm)³
Volume in cm³ = 15625 cm³

Second, convert cm³ to ml

1 cm³ = 1 ml

Volume in ml = Volume in cm³
Volume in ml = 15625 ml

Third, convert ml to L

1 L = 1000 ml

Set up the conversion so the desired unit will be cancelled out. In this case, we want L to be the remaining unit.

volume in L = (volume in ml) x (1 L/1000 ml)
volume in L = (15625/1000) L
volume in L = 15.625 L

Answer:

A cube with 25 cm sides contains 15.625 L of volume.