Final answer:
Mass, weight, and volume are extensive properties, while density is an intensive property because it is a ratio of mass to volume and does not depend on the amount of substance.
Step-by-step explanation:
Mass, weight, and volume are indeed extensive properties because their values depend on the amount of substance present. An extensive property directly corresponds with, or is proportional to, the amount of matter in a sample. For example, a gallon of milk will have a greater mass and volume compared to a single cup of milk.
When we consider density, which is defined as mass per unit volume (mass/volume), we are dealing with an intensive property. This is because density is a ratio of two extensive properties, mass and volume. When an extensive property is divided by another extensive property, the resulting value is independent of the amount of substance, thereby making density an intensive property. In other words, the density of a substance remains constant regardless of how much of the substance you have. For instance, whether you have a kilogram of gold or a gram of gold, the density remains the same.