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Converting Cubic Meters to Liters - Example Problem

Worked Volume Unit Example Problem

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Cubic meters and liters are units of volume.

Cubic meters and liters are units of volume.

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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.

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