Question

State and define the SI unit of volume

Answer 1

Hint:Volume of a body is the third dimensional space that the body occupies. For example, if we fill a container with a liquid completely, then the volume of the liquid is the same as the volume capacity of the container.

Complete step by step answer:
Let us first understand what is meant by volume.

Volume is a feature of a body. Volume of a body is the third dimensional space that the body
occupies. For example, if we fill a container with a liquid completely, then the volume of the liquid is the same as the volume capacity of the container.

In other words, volume is the third dimensional space that is enclosed by a closed surface.
For a uniform body, the basic method for calculating its volume is by multiplying its cross sectional area with its height or its length.

For example, the volume of a closed cylinder is equal to its cross sectional area times its height. For a cuboid, its volume is equal to its base area times height and the volume of the cube is equal to the cube of its length of a side (since on sides are of equal length).

Therefore, the dimensional formula for volume is cube of length, i.e. $\left[ {{L}^{3}} \right]$.
We know that the SI unit of length is metre (m).

This means that the SI unit of volume is equal to the cube of the unit of length, i.e. ${{m}^{3}}$.

If we take a cube whose each side is of length 1 m, then its volume is equal to $1{{m}^{3}}$.

Note: The CGS unit of volume is $c{{m}^{3}}$.
The units ${{m}^{3}}$ and $c{{m}^{3}}$ are mostly used for rigid objects. For substances that are not rigid and can flow like liquids, we have different units of volume. For liquids, the unit of volume used is litre. And $1litre={{10}^{-3}}{{m}^{3}}$.

In other words, $1{{m}^{3}}={{10}^{3}}litres$.
That means that if we take a container of $1{{m}^{3}}$, then it can contain up to 1000 litres of a liquid.