# What is Volume? | Definition vs Examples

It is the amount of space an object and a substance occupy or is enclosed within a container. The ideal approach to visualize volume is considering it as far as the space enclosed/occupied by any 3-dimensional item or a solid shape.

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Education Quiz

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In a class, there are children who usually get out of the social circle. How do you describe these children?

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What is the study of light and color called?

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In which year was the first college in the United States founded?

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Who is the author of the famous novel "Pride and Prejudice"?

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Who wrote the famous novel “Dracula”?

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Dianne has the above-average mental ability, but she is poorly motivated in class. That is why she has low grades in her academic performance. Is she?

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What is the most common type of post-secondary education in the United States?

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What word, taken from German, names the traditional first formal year of U.S. schooling?

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What is the study of government and political systems called?

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What is the study of the physical, social, and cultural phenomena of a particular country or region called?

We can see it by doing it at home,

1. First, take a sheet of paper, rectangular in shape, length of 1cm and h cm in width.
2. After that, join the sides of the sheet, as shown in the image below, without creasing the sheet.
3. Then you will see that you have made a 3-D object/shape enclosing the space within.

## Key Takeaways

1. Volume is the amount of space occupied by an object, measured in cubic units.
2. Volume is essential in engineering, physics, and chemistry, where it calculates density, mass, and pressure.
3. The volume of a solid object can be calculated by multiplying its length, width, and height, while for a liquid, it is measured in milliliters or liters.

## Importance of the Volume

### Units of the volume

Given that volume has 3-D, it has a length of cubic measures.

Also, while the standard unit of measurement universally is a cubic meter or cubic centimetre, casually, the most utilized term is litres or millilitres.

So, now we are fully familiar with the units of volume. Now, let’s calculate the volume of other common shapes and figures.

### Cube

It is a special case of a cuboid or a rectangular prism; here, all three sides are equal when measured. When we represent a cube’s side as ‘a’, the cube has all the sides as ‘a. Now, the volume of a cube is calculated as;

Volume of cube=a x a x a = a³

### Cylinder

A Cylinder shape is a tube-like structure with round outer faces of a similar span at either end joined by a planar circular surface.

Consider it the area of a circular increased by a 3rd-D, the height.

The volume of the Cylinder = π x r x r x h = πr²h

### Volume of Pyramid

A base forms a Pyramid shape. It is commonly a triangle or a square, even though pyramids with bases bigger than 4 are likewise conceivable and planar three-sided surfaces.

The volume of the Pyramid = 1/3 x area of base x height
= 1/3 x a² x h
(here, ‘h’ is the height of the Pyramid, and a is the area of the base)

### Volume of Cone

There is only one difference between a cone, and a pyramid is that they both have different bases. The cone has a circular base, and the pyramid has a squared base. Also, the pyramid has planar surfaces, and the cone has a curved surface.

We can use ice cream cones as an example,

The volume of Cone = 1/3 x π x r x r x h
= 1/3 x π x r² x h
( so, h is the height of the cone, and the radius is denoted by ‘r’)

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