Relation Between Density And Volume

Density and volume are intrinsic characteristics of matters. In simple words, anything that has mass and occupies space also has volume and density. To understand the relationship between density and volume, one has to have a prior understanding of matter. 

Furthermore, an understanding of density and volume as general terms is also essential. Herein, volume is the physical space occupied in three dimensions by a matter, while density is the mass per unit of volume. 

What is the Relation between Density and Volume?

The density and volume relation states that both are proportional to each other. It means that even a slight change in density is likely to cause a change in volume of that specific matter, be it an element or a compound.

Similarly, the reverse is also valid, wherein even a slight change in volume will lead to a change in density of a specific object. Alongside, you should also be familiar with the sign conventions for every parameter so as to represent the relationship in mathematical terms easily. 

The mathematical expression for the relation between mass volume and density is given below -

⍴ = M/V

Where ⍴ (read rho) = density 

M = mass, and

V = volume

Furthermore, as a student you should also note the units of both density and volume too. Consequently, as volume is a three-dimensional quantity, it has its unit in a cubic format, such as a cubic metre. 

In the case of density, which is defined as the rate of change of mass per volume, the unit is kg/cubic metre and its likes. The unit for mass can be kilograms or grams, depending on SI and CGS units, whichever is applicable. Hence, students should be careful while establishing a relationship between mass volume and density and also while converting from one unit to another. 

Points to Remember

The relation between volume and density with mass has some key points that students should understand for explicit knowledge of the same. The points are listed below -

  • Any two matter having the same volume may not have the same density.

  • Any two matter having the same mass may not be equal in volume. 

  • Water is an exception in this phenomenon, as it increases in volume while freezing, thereby having more volume in its solid state than that of its liquid state. This process begins at 4°C and is known as anomalous expansion of water.

  • Water is used as a reference for gauging density of other matters. 

  • Cool air is denser than warm air.

While studying the relation between density volume and mass, students should note here that the density of water changes at different temperatures. Nonetheless, its density at 100 degrees Celsius is considered the basis of reference. 

It would be best if you would also look into the conversion of density to volume and vice versa to develop an understanding of advanced numerical. Make sure you are able to convert them easily, for which you should memorise the basic formula for density.

For a piece of more detailed information on the mass volume and density and their related features, conversions and applications, go through our online learning programmes. They have the top-notch study materials drafted by our subject experts for your clarification. 

You can also access our study materials for the relationship between density and volume and other related concepts on our Vedantu app which allows you to access our study material at any time. 

FAQ (Frequently Asked Questions)

1. What is the Direct Relation Between Density and Volume?

Ans. Density and volume are related through the mass of a specific matter. Thus a slight change in either volume or density will cause a difference in the other. Density is the rate of change of mass per unit volume.

2. Compare the Density and Volume of Materials.

Ans. Density of iron is more than density of water which is more than density of air. It all depends on how tightly are packed in the matter. On the other hand, the volume of cotton is more than volume of iron, because cotton takes up more space than iron for the same mass. 

3. Relate Mass, Density and Volume.

Ans. The relationship between density and volume with mass is expressed in the following mathematical equation ⍴ = M/V

Here, ⍴ is density, M is mass, and V is the volume of a matter.