They are equal volumes.
1 cubic meter = (100 cm)3 = 1,000,000 cubic centimeters
1 cubic meter = 1,000 liters
1,000,000 cubic centimeters = 1,000 liters
1,000 cubic centimeters = 1 liter
1 cubic centimeter = 1 thousandth of a liter = 1 'milli'liter
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No, it's equal to one millilitre. Millimeter is a unit of length, while millilitre is a unit of volume and corresponds to one cubic centimeter.