1. Education

Discuss in my forum

Converting Cubic Meters to Liters

Worked Volume Unit Example Problem

By

The method to convert cubic meters (m3) to liters (L) is demonstrated in this worked example problem.

Problem:

How many liters are equal to 0.25 cubic meters?

Solution:

Conversion factors needed

1 cm3 = 1 mL
100 cm = 1 m
1000 mL = 1 L

Convert cubic meters to cubic centimeters

100 cm = 1 m
(100 cm)3 = (1 m)3
1,000,000 cm3 = 1 m3
since 1 cm3 = 1 mL

1 m3 = 1,000,000 mL or 106 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 m3) x (106 mL/1 m3) x (1 L/1000 mL)
volume in L = (0.25 m3) x (106 mL/1 m3) x (1 L/1000 mL)
volume in L = (0.25 m3) x (103 L/1 m3)
volume in L = 250 L

Answer:

There are 250 L in 0.25 cubic meters.

©2014 About.com. All rights reserved.