Unit of Volume

What is Volume in Physics?

We often visit a dairy to buy milk and ask the shopkeeper to provide us with some litres of milk. Have you ever wondered what this “litre” signifies? It is the Volume and litre is one of its many Units. Here Vedantu has provided for you a write-up on Volume, its various Units and their interConversion. First, let’s start by understanding what Volume is.  


You know that Volume is the space occupied by a state of matter. So, what is the SI Unit for Volume considered for measuring it? Well! The SI Unit for Volume is m³. However, many other Units are employed for the Volume in Physics. This page discusses the Units of the Volume list in detail.


The Volume is a basic physical quantity, we consider it a derived quantity and it expresses the three-dimensional proportions of an object.


So, we understand that the SI Unit of Volume in Physics is quantified by using the SI derived Unit, the cubic metre.


Volume in Physics

Volume is the amount of three-dimensional space enclosed by a closed surface in terms of numerical value.


For example, the space that a substance can be Solid, liquid, gas, or plasma, or any space-occupying shape. 


The Volume of a container is considered to be the capacity it can hold; i.e., the amount of fluid, a gas, or a liquid that the container can hold, rather than the amount of space the container itself displaces, just like Buoyant force in the water. 


Points to be Noted

3-D mathematical shapes are also assigned Volumes. Volumes of shapes, like the regular, straight-edged, and circular shapes can be easily calculated by using arithmetic formulas. 


Volumes of complex shapes can be calculated by using integral calculus only if the formula exists for the shape's boundary. 


1-D s like lines and 2-D shapes, such as squares are allotted zero Volume in the three-dimensional space.


The Volume of a Solid

The Volume of a Solid, either regularly or irregularly shaped, can be determined by fluid displacement. 


Where the displacement of liquid is used for calculating the Volume of a gas. The combined Volume of two substances is always greater than the Volume of just one of the substances (liquid or gas). However, sometimes it happens that one substance dissolves in the other, and in these cases, the combined Volume is not additive.


Units of Volume List

Volume measures capacity. So the SI Unit of Volume is a Unit for measuring the capacity or the proportions of an object or space. The Unit m³ is mostly used to specify the Volume of substances or a liquid (fluids). 


However, students must keep in mind that mass and Volume are two different physical quantities. While the Unit of Volume is an interesting topic, so, let’s have a look at what Units are used all over the world below in a tabular form:


Unit of Volume in Physics

SI Unit of Volume is: 

Cubic Metre

Litre

1 Cubic metre

1

1000

1 barrel

0.158987294928

158.987294928

1 cubic foot

0.028316846592

28.316846592

1 cubic decimetre

0.001

1

1 litre

0.001

1

1 gallon (US)

0.003785411784

3.785411784

1 pint (US)

0.000473176473

0.473176473

1 cubic inch

0.000016387064

0.016387064

1 cubic centimetre

0.000001

0.001


Volume in Thermodynamics

In the field of Thermodynamics, the Volume of a system is a significantly extensive parameter for describing the state’s thermodynamic state. 


The specific Volume is an intensive property, it is the Volume of the system per its Unit. 


Volume is a state function and is independent of some thermodynamic properties like pressure and temperature. 


For an ideal gas, the Volume is related to the pressure and temperature, as per the ideal gas law.


Volume Units Conversion

Any Unit of length gives a derived SI Unit of Volume, such as the Volume of a cube that has sides of a given length in metres. 


A cubic centimetre or cm3 is the Volume of a cube whose sides are one centimetre, 1 cm in length.


In the International System of Units or SI, the standard Unit of Volume is the cubic metre (m3). 


(Image will be uploaded soon)


In the metric system, the Unit of Volume also includes the litre (L), where one litre is equal to the 10-centimetre cube. 


Therefore, 1 litre = (10 cm)3 = 1000 cubic centimetres 

= 0.001 cubic metres,

So,

1 cubic metre is equal to 1000 litres.

Small amounts of liquid are measured in millilitres Units, where

1 millilitre = 0.001 litres or 1 cubic centimetre.

In the same way, large amounts are measured in megalitres, i.e.,

1 million litres = 1000 cubic metres or 1 megalitre.


Various traditional Units of Volume are still in use, including the following Units of Volume list:

  1. cubic inch, 

  2. the cubic foot, 

  3. the cubic yard, 

  4. the cubic mile, 

  5. the teaspoon, 

  6. the tablespoon, 

  7. the fluid ounce, 

  8. the fluid dram, 

  9. the gill, 

  10. the pint, 

  11. the quart, 

  12. the gallon, 

  13. the minim, 

  14. the barrel, 

  15. the cord, 

  16. the peck, 

  17. the bushel, 

  18. the hogshead,

  19. Drams grill

  20. Bushels

  21.  Pecks

  22. the acre-foot, and 

  23. the board foot


Vedantu has also provided a detailed introduction to the topic of Volume. If you are finding it difficult to understand this topic directly, it is suggested you refer to the topic of Volume formulas before proceeding with it.    


Conclusion

After reading this article you are well aware of various Units of Volumes, their interConversions and traditionally used Units of Volume. Studying this write-up has taught you how significant Volume and its Units are. These Conversion formulas come in handy at many places in exams and also in practical life. Thus, you have to give your best to understand this topic and try to apply it at various places to ensure you master it. 

FAQs (Frequently Asked Questions)

1. What is the Formula of Volume in Physics? Explain Each Quantity Used in the Formula.

The formula for volume in Physics is given by;

ρ = m/v

Where

ρ - density of the substance measured in the two following units:

  1. kgm⁻³

  2. gcm⁻³

The density of the substance can be considered a similar property to viscosity. So, the more is the viscosity of the fluid, which means more is its density, just like honey, oil, etc.

m - the mass of the substance measured in Kg and grams.

Where a mass is the amount of matter a body contains.

V = Volume is the entire space taken by either of the states of matter in the container they are placed. In the case of gas, a gas takes the shape of the container it is kept in.

2. Define the SI-derived Unit.

In Physics, SI-derived units are units of measurement that are derived from the seven fundamental units adopted by the International System of Units (SI). 


SI-derived can be either dimensionless or can be expressed as a product of one or more of the base units, sometimes they are scaled by an appropriate power of exponentiation.

3. Define the Term Mass.

Mass is an attribute of a physical object and also, a measure of its resistance to acceleration, ie., a change in its state of motion or inertia when a net force is applied. 


The mass of the object also determines the strength of its gravitational attraction with the other mass. In the SI base unit, the unit of mass is the kilogram (kg).

4. Is Unit of Volume - Explanation, Conversion and FAQs important for the JEE exams?

Yes the topic of Unit of Volume - Explanation, Conversion and FAQs is very important for JEE exams and also for any entrance exam where Physics is part of the syllabus. If you go through previous year questions papers of IIT-JEE Mains exams or the samples papers for the JEE exams provided by Vedantu, then you will find many questions wherein you are required to change the Units of Volumes. For instance, Volume might be given in litres and you may have to convert it into a decimeter cube. Solving such problems is possible only if you are well versed with all the Conversion factors of Volume.   

5. There are so many Units in Unit of Volume - Explanation, Conversion and FAQs, am I supposed to remember all of them?

We are aware of the fact that Unit of Volume - Explanation, Conversion and FAQs consists of many Units of Volume and their interConversion. And remembering this for students can become challenging. You can try to remember basic Units of Volumes, such as litre, decimeter cube, metre cube, etc. For others, you can byheart basic values of Conversions such as the value of mili, cubic, etc. Also, try to solve as many questions as possible from various books and papers because while solving these you will come across many questions where interConversion of Volumes will be needed. Solving such problems multiple times will automatically ensure that you remember these.

6. How do I remember Unit of Volume - Explanation, Conversion and FAQs?

More than 20 Units of Volume has been mentioned in Unit of Volume - Explanation, Conversion and FAQs. It is practically not possible to remember them by heart because each of them has its Conversion factor associated with them. The best way to remember these Units and their interConversions is to solve a huge number of problems of different types and make sure they involve the Conversion of Units at some step. Solving such problems will help you remember these Units and their respective Conversion factors for a long time.  

7. From which books can I cover Unit of Volume - Explanation, Conversion and FAQs?

There is no one direct source for you to cover the topic of Unit of Volume - Explanation, Conversion and FAQs directly. It is a topic that is not even introduced in Class 11 NCERTs formally. Because it is a topic which you are expected to learn over the years starting from very earlier standards. If you want to cover this topic properly you can refer to Vedantu’s write-up given above. It will properly introduce you to the topic and get acquainted with various Units of Volumes. After this, you can solve questions from Physics NCERT and advanced level books such as HC Verma’s Concepts of Physics.

8. Is Vedantu a reliable source to cover Unit of Volume - Explanation, Conversion and FAQs?

Vedantu offers only the best study materials to its students. Similarly, to stand true to its commitment Vedantu has provided the most reliable and student-friendly material for Unit of Volume - Explanation, Conversion and FAQs on its website. To design the web content of this page, the best subject matter experts of Physics were employed. The content was prepared after a lot of research from the most reliable sources to cater to the board as well as entrance exam needs. You can trust these resources completely without any second thoughts.

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