## difference between volume and capacity

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## difference between volume and capacity

Volume and capacity are two important concepts that are not only primary but also one of those basic concepts that need to be understood well. These concepts are some things that every child right from their childhood needs to understand. Especially when it comes to geometry in Maths, various objects will be displayed of which the volume and capacity must be calculated. This will also allow the students to solve greater and much harder problems well with some sample problems. In our day-to-day lives, we came across so many three-dimensional objects, that occupy a certain volume.

The volume of a given substance refers to the total amount of space that it covers, that is when you measure the space region that is taken up by a solid object it is referred to as volume. Conversely, capacity refers to the quantity of something that a container holds.

In short, capacity is known as the container’s volume.Due to many similarities between the two, the volume is usually confused with the capacity. However, there are a few but significant differences between volume and capacity that one can understand when they learn their meaning, unit of the measurement, etc. In this article, we will learn about the difference between volume and capacity, the measurement of volume, and the measurement of capacity. for Class 2.

Both volume and capacity are considered somewhat similar but there are some differences between them that make them different.

- The total amount of any substance which is contained in a particular space is called the volume. The total potential amount of any substance that can be contained in a space is called the capacity of that space.

### This can be summarised as shown in the table below.

Volume |
Capacity |

Volume indicates the total amount of space covered by an object in three-dimensional space. | Capacity refers to the ability of something (like a solid substance, gas, liquid) to hold, absorb or receive by an object. |

Common units (units of measurement) – cm^{3}, m^{3} |
Common units (units of measurement)- litre, gallons, pounds |

Both solid and hollow objects have volume. | Only hollow objects have the capacity. |

Example – Cube, Cuboid, Cone and Cylinder | Example – Cone, Cylinder, hollow hemisphere |

This can be well understood with the help of a solved example given below.

**Example:** Find the volume and capacity (in litres) of a cylinder whose radius is 7 cm and height is 20 cm.

**Solution:**

Given, r = 7 cm and h = 20 cm

We know that,

Volume of cylinder = πr^{2}h

= (22/7) × 7 × 7 × 20

= 22 × 7 × 20

3080 cm^{3}

Capacity of the cylinder = 3080/1000 litres (1000 cm^{3} = 1 litre)

= 3.08 litres

Note: We can also represent capacity interms of cm^{3}. Hence, in the above example volume will be numericallly equal to capacity.

To learn more about other topics of maths download BYJU’S– The Learning App from Google Play Store and watch interactive videos. Also, take free tests to practice for exams.

### Definition of Volume

Mathematically, the volume is the space occupied by it or the amount of space it encloses. The volume of a substance can be calculated for a given substance if it exists in a regular geometric shape, for example, cube, sphere etc. using assigned formulas.

The general formula for calculating the volume of an object is the multiplying the height, width and length with each other. For calculating the volume of certain irregular shapes, integral calculus can be used.

It obvious that one-dimensional and two-dimensional objects have zero volume. Volume is measured in cubic meters and cubic centimeters. The term cubic signifies the number of cubes of the given unit that can be placed within the enclosed space.

Another technique used to calculate the volume of a substance is called fluid displacement. The principle of fluid displacement states that the volume of fluid displaced by object, when immersed is equal to the space occupied by the object, hence this becomes the volume of the object. This technique is specifically useful for measuring the volume of a solid object especially is the shape is irregular.

The unit of volume can be derived from its corresponding unit of length. The SI or International Standard Unit for volume is cubic meter.

### Definition of Capacity

The term ‘capacity’ is understood as the ability of the hollow object to hold substance, i.e.,. solid, liquid or gas. It is a measure, that ascertains the amount of space available in a container, that can be filled with matter. In other words, the total amount of matter that can be contained in the object is the capacity of the container.

You might have observed, that when we fill air or fluid in a hollow object, it takes the shape of the container. So, the maximum amount of matter that the container is capable of holding is its capacity. It is measured in metric units, i.e. millilitres, litres, kilolitre, gallons, etc.

### Main Differences Between Volume and Capacity

- Volume is defined as the measure of the space taken by mass while capacity is the fluid holding potential of an object.
- The amount of area taken up by a substance, at a given time is its volume, versus the amount of fluid required to fill up an object up to the brim, is its capacity.
- Mathematically, volume is measured in cubic meters whereas, Capacity is measured in litres.
- Volume can be calculated by using fluid displacement while capacity cannot be calculated by fluid displacement.
- Volume is a characteristic of the substance, while capacity is usually a characteristic assigned to hollow container like objects.

### How do we use capacity in everyday life?

Whether or not we realise it, we use aspects of capacity all the time in everyday life. For example, in recipes, ingredients are often measured in different sizes so converting across different units of measurement into capacity is vital.

As well as in a mathematical sense, we also use capacity measurements for things like sporting events, to make sure too many people are not going to a venue that can not accommodate them.

### Volume VC Capacity

It is a given fact that volume and capacity are two terms that are discussed in similar contexts. However, although they may be at times considered as quite similar to one another, there exists certain differences between them that set them apart.

- Volume is the actual amount of whatever substance that is contained within a certain space. Capacity is the total potential amount that a certain enclosed space is capable of holding.
- It is measured with cubic meters and cubic centimeters, Capacity is measured with liters, gallons, etc.

Ex- The milk container has a capacity of 250ml, while that container may have a volume of 300 cubic centimeters. Here, it is clear that the container has the potential to accommodate 250ml of milk while the container itself occupies 300 cubic centimeters of space.

There is also another simple comparison between volume and capacity. With “capacity”, one often says “The water gallon can hold up to 6 liters of water; while “volume” is often referred to as “The plastic container expanded to double its volume after performing an experiment on it.”

### The Significant Difference Between Volume and Capacity

**1.** It is the amount of space which is taken up by an object, whereas capacity is the measure of an object’s ability to hold a substance, like a solid, a liquid or a gas.

**2.** Capacity is also the maximum limit which is measured in liters.

**3.** The Volume is measured in cubic units, whereas capacity can be measured in almost every other unit.

**4.** Volume is also calculated by multiplying the length, width, and height of an object, whereas the measurement for capacity is pitched more towards cc or ml.

### What is the difference between volume and capacity Example?

Consider for example that there is a tank that is filled with water. Hence, the volume refers to the space that is occupied by both the tank and the water,

inside the tank, whereas, its capacity refers to the quantity of the water that is needed to fill the tank.

### What are the similarities between volume and capacity?

Volume indicates the total amount of space covered by an object in three-dimensional space. Capacity refers to the ability of something (like a solid substance, gas, liquid) to hold,

absorb or receive by an object. Both solid and hollow objects have volume. Only hollow objects have the capacity.

### When do children start learning about capacity and volume?

Kids will start learning about different units of measurement in as early as year 1 in primary school. That’s when they’ll start practising comparing and describing capacity and volume,

while also measuring and recording their findings. In the following school years, they’ll continue to expand their knowledge of the topic. For example, kids will start using **standard units of measurement** and compare different values of capacity. As they expand their numeracy skills as well,

they’ll combine these to add and subtract these values and solve word problems involving capacity. Throughout the years, they’ll also learn how volume differs from capacity, but this will happen further in KS2.

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