Cubic Centimeters and MillilitersDate: 10/29/2001 at 08:15:20 From: Kara Chiasson Subject: Cubic centimeters and Milliliters Hi! I know that cubic centimeters and milliliters are the same thing, but is there any way you can prove it to me? Thanks. Date: 10/29/2001 at 10:06:41 From: Doctor Peterson Subject: Re: Cubic centimeters and Milliliters Hi, Kara. It's mostly a matter of definition. See this useful site (listed in our FAQ): How Many? A Dictionary of Units of Measurement - Russ Rowlett http://www.unc.edu/~rowlett/units/dictL.html which says, under "liter": liter or litre (L or l): the common metric unit of volume. The liter was originally defined to be the volume occupied by a kilogram of water, and the gram as the mass of a cubic centimeter of water. This would make the liter equal to exactly one cubic decimeter, that is, to the volume of a cube 0.1 meter (or 10 centimeters) on a side. Unfortunately, the physical objects constructed to represent the meter and kilogram disagreed slightly. As measured by the standard meter and standard kilogram, the standard liter turned out to be about 1.000 028 cubic decimeters. This discrepancy plagued the metric system for a long time. In 1901 an international congress accepted the discrepancy and formally defined the liter to be exactly 1.000 028 dm3. No one was particularly happy with such an awkward definition, so in 1964 the CGPM repealed the definition. In the SI, volumes are to be measured in cubic meters or power-of-ten multiples thereof, not in liters. However, the SI states that the liter "may be employed as a special name for the cubic decimeter." Throughout this dictionary, the liter is used as a name for exactly 1 cubic decimeter, 1000 cubic centimeters, or 0.001 cubic meter. So if a liter is defined as 1000 cubic centimeters, then a milliliter is one cubic centimeter. End of proof! - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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