A technician inspects a solid metal component with a mass of 108\text{ g} and a volume of … — Armed Services Vocational Aptitude Battery (ASVAB)

A technician inspects a solid metal component with a mass of $108\text{ g}$ and a volume of $12\text{ cm}^3$ . What is the density of the component in grams per cubic centimeter ( $\text{g/cm}^3$ )?

Answer: 9 g/cm^3

Answer

9 g/cm^3

Density measures the amount of mass contained per unit volume of a substance. Dividing the component's mass of

108\text{ g}

by its volume of

12\text{ cm}^3

gives a density of

9\text{ g/cm}^3

Step-by-Step Solution

Identify the given physical quantities from the problem statement

Mass (

m

) =

108\text{ g}

, Volume (

V

) =

12\text{ cm}^3

Density is a fundamental physical property defined as mass per unit volume.

Calculate the density using the formula

\text{Density} = \frac{\text{Mass}}{\text{Volume}}

\text{Density} = \frac{108\text{ g}}{12\text{ cm}^3} = 9\text{ g/cm}^3

Dividing the total mass of the object by its volume determines the mass contained in each cubic centimeter.

Key Concept

Density as a characteristic physical property of matter relating mass and volume

Estimated Time:45s

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