Chapter 2.1, Problem 7SSC

Interpretation Introduction

Interpretation:

The relationships among the mass, volume and density of a material are to be defined.

Concept introduction:

Mass in a measure of the amount of matter an object contains. Volume is the space occupied by an object. Density is defined as the amount of mass per unit volume.

Answer to Problem 7SSC

The relationships among the mass, volume and density of a material is: $Density=\frac{Mass}{Volume}$

Explanation of Solution

The amount of matter measured in an object is known as mass. The SI unit for mass is the Kilogram (kg). The space occupied by an object is known as volume. The volume of an object with a cubic or rectangular shape is determined by multiplying its length, width and height dimensions. The derived SI unit for volume is cubic meter or $m^3$. Density is the amount of mass per unit volume. Common unit of density for solids is grams per cubic centimeter $(g/c{m}^3)$ and for liquid and gases it is grams per milliliter (g/mL).

As the density of a substance cannot be measured directly, thus it measured through mass and volume. The following equation gives the relationship between mass, volume and density of a matter:

$Density=\frac{Mass}{Volume}$ that is to say that the density of an object is equal to its mass divided by its volume.

Conclusion

Hence, density of an object is equal to its mass divided by its volume.