Is the label for volume always cubed?

Answer 1

Not necessarily. Although volume can be in terms of centimeters cubed or feet cubed, etc., it can also be in terms of liters of milliliters (1 milliliter = 1 cubic centimeter). Hope this helps. ~Skularach The unit measurement for volume is always cubed in the non-International Standard units (SI) because there are three units of measurement in three completely different dimensions being multiplied together (ex: length, width, and height). As each measurement is combined through multiplication, the units associated with the measurement are also combined. An example would be a one foot by one foot by one foot box. A box is an example of a three dimensional square. Because each of the sides have the same numeric value in this case (e.g. 1), multiplying all the values together yields: 1 * 1 * 1 = 1. However, as discussed earlier, each distance is measured in each one of three completely separate dimensions. Multiplying each of the units together yields: ft * ft * ft Exponents can be used to identify how many time like terms are multiplied together. In the case above, since the unit of feet is being multiplied three times, we can say: ft * ft * ft = ft To sum it all up, each multiplication of a measurement in a different dimension determines the final unit of measurement in all the dimensions: 1 ft * 1 ft * 1 ft = 1 ft3. Hope this helps. ~Olfactory Sniffer