Question

How does mass affect density? How does volume affect density?

Answer 1

Hint: We are asked to write about the dependence of mass and volume on density. We can start to attempt this question by defining the quantity of density. Once we have defined density, we can see the dependence of density on mass and volume. Thus, we will reach our required solution.

Formulas used:
The formula from the definition of density is given as,
\[\rho = \dfrac{m}{V}\]
Where \[m\] is the mass and \[V\] is the volume.

Complete step by step answer:
Let us start by identifying and then defining the physical quantities. We are given three physical quantities. Namely, mass, volume and density. Let us move onto defining them one by one.
Density: It can be defined as the ratio of mass to the volume of a substance. It can also be defined as the degree of compactness. The SI unit of density is kilograms per cubic meters.

Now that we have defined the quantities, let us move onto seeing the dependence one by one.
(I) Mass and density and linearly proportional, that is when mass increases the density also increases
\[\rho \propto m\]
Where \[m\] is the mass.

(II) Volume and density are inversely proportional to each other. That is when volume increases, density decreases and vice versa.
\[\rho \propto \dfrac{1}{V}\]
Where \[V\] is the volume.

Note: Mass is the measure of the amount of substance present in a body. It is usually measured in grams. The SI unit of mass is kilograms. Volume can be defined as the quantity that is contained by a three-dimensional closed surface. The SI unit of volume is cubic meter also known as a liter.