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

We can see it by doing it at home,

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

**Importance of the Volume**

**Units of the volume**

It is 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 take a look at calculating the volume of other common shapes and figures.

**Cube**

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

**Volume of cube=a x a x a = a³**

**Cylinder**

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

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

**Volume of Cylinder = π x r x r x h = πr²h**

**Volume of Pyramid**

The Pyramid shape formed by a base. It commonly is a triangle or a square. In spite of the fact that pyramids with bases with bigger than 4 are likewise conceivable and planar three-sided surfaces.

**The volume of 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 the 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 cone as an example,

**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 radius is denoted by ‘r’)**

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