(b) Three cubes of equal mass are composed of gold (density = 19.32 g/cm³), platinum (density = 21.45 g/cm³), and lead (density = 11.35 g/cm³). List the cubes from smallest to largest.

Key Concepts

Density

Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³). It is a crucial property that helps determine how much matter is packed into a given space. In this question, the densities of gold, platinum, and lead are provided, which will be used to compare the relative sizes of the cubes when their masses are equal.

Volume Calculation

Volume can be calculated using the formula: Volume = Mass / Density. Since the cubes have equal mass, their volumes will differ based on their respective densities. A lower density indicates a larger volume for the same mass, which is essential for determining the order of the cubes from smallest to largest.

Comparison of Materials

Comparing materials based on their physical properties, such as density, allows us to rank them effectively. In this scenario, understanding how the densities of gold, platinum, and lead relate to their volumes will enable us to list the cubes from smallest to largest. This concept emphasizes the importance of material properties in practical applications.