(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.

검증된 단계별 안내

Identify that the problem involves comparing the volumes of three cubes made of different materials but with equal mass.

Recall the formula for density: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \). Rearrange it to find the volume: \( \text{Volume} = \frac{\text{Mass}}{\text{Density}} \).

Since the mass of each cube is the same, the volume of each cube is inversely proportional to its density.

Compare the densities of the materials: gold (19.32 g/cm^3), platinum (21.45 g/cm^3), and lead (11.35 g/cm^3).

List the cubes from smallest to largest volume based on their densities: platinum (smallest volume), gold, lead (largest volume).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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.

(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.