Cubic centimeter, also known as milliliter, seems appropriate in this case.
The liter is commonly used. For a small bottle, milliliters might also be used.
You would find millimetres on a ruler using metric.
You would find centimeters, millimeters and meters on a metric ruler or tape measure.
One can find a metric to imperial conversion at a neighborhood library. A bookstore would be another source to find a metric to imperial conversion table.
You would use meters.
Yes you would :P