Density directly influences the weight of a given volume; denser ingredients weigh more for the same volume. A cup of feathers weighs significantly less than a cup of rocks due to the difference in their densities.
Density is defined as mass per unit volume (typically expressed as grams per milliliter or pounds per cubic foot). This means that for a fixed volume, like one cup, the weight of the ingredient will be directly proportional to its density. An ingredient with a high density packs more mass into the same space, resulting in a greater weight. Conversely, a low-density ingredient contains less mass in the same volume, leading to a lower weight.
Consider the classic example of a cup of feathers versus a cup of rocks. Rocks are much denser than feathers. This is because the atoms in rocks are packed much closer together than the molecules in feathers, and the atoms themselves are heavier. Therefore, a cup of rocks will weigh significantly more than a cup of feathers.
In cooking, this principle is crucial. For example, a cup of all-purpose flour weighs approximately 4.25 ounces (120 grams), while a cup of packed brown sugar weighs around 7.75 ounces (220 grams). The brown sugar is denser because the sugar crystals are heavier and pack together more tightly, especially when packed down. Another example is comparing a cup of oil to a cup of water. Oil is less dense than water, so a cup of oil will weigh less than a cup of water.
Always use a kitchen scale for precise measurements, especially when baking. Volume measurements (like cups) can be inconsistent due to variations in how ingredients are packed, leading to inaccurate results. Weighing ingredients ensures consistent and repeatable outcomes.