Final answer:
A cubic decimeter's common name is a liter, which is a unit of volume represented by a cube with one decimeter on each side. One liter equals one cubic decimeter or about 1.06 quarts, and a milliliter, also known as a cubic centimeter, is 1/1000 of a liter.
Step-by-step explanation:
The common name for a cubic decimeter is a liter. A cubic decimeter (dm³) is a unit of volume that is represented by a cube with edge lengths of exactly one decimeter on each side. When measuring volume, liters are widely used, particularly for liquids. One liter is equivalent to one cubic decimeter and also has approximations in other measures, such as being about 1.06 quarts.
In the context of smaller volumes, a cubic centimeter (cm³) or milliliter (mL) is commonly used, especially in fields like health or chemistry. There are 1000 milliliters in one liter, showing the relationship between these units of volume. This makes it easier to understand and work with volumes in a practical and applicable manner.