Final answer:
Volume and density have an inverse relationship in states of matter; as density increases, the volume decreases. This relationship is evident in solids, liquids, and gases, with solids and liquids typically being denser than gases.
Step-by-step explanation:
The relationship between volume and density within states of matter is an inverse relationship. This means that when the density of a state of matter increases, its volume decreases. In solids and liquids, atoms and molecules are packed closely together, which generally means they have a higher density compared to gases, where atoms and molecules are separated by large amounts of empty space.
For example, if the distance between atoms in a gas increases by a factor of 10, the volume the gas occupies increases by a factor of 1000, while the density decreases by the same factor. It is also important to note that the density of liquids and solids can be influenced by the temperature; normally, their density increases with decreasing temperature.