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### Cubic Centimeters and Milliliters

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Date: 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awkward definition, so in 1964 the CGPM repealed the definition.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/
```
Associated Topics:
Middle School Definitions
Middle School Terms/Units of Measurement

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