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# How many cubic centimetres $c{m^3}$ are there in $1$ litres?

Last updated date: 13th Jul 2024
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Hint: This problem is based on conversion of one unit to another unit. We have to convert the volume from Litres to cubic centimetre $c{m^3}$. We will use the fact that $1$ litre of volume is the volume occupied by a cube of length $10$ $cm$.
We will use the formula to find the volume of the cube $=$ ${a^3}$ where $a$ is the length/side of the cube.

Complete step-by-step solution:
This question is based on the conversation unit of measurement. The unit of measurement in mathematics is a standard quantity which is used to express a physical quantity. This standard unit is adopted world wide and known as SI unit. There are $7$ basic standard units.
Volume is the amount of air occupied by any vessel or container. We use cubic metre $({m^3})$ to measure volume. Other unit of measuring volume are cubic centimetre, millilitres, litres etc
Consider the given question,
We know that $1$ litre is the volume occupied by a cube of length $10$ cm.
So the volume of the cube $=$ ${a^3}$ where $a$ is the length/side of the cube.
Volume of cube of length $10$ cm $=$$10 \times 10 \times 10$$c{m^3}$$=$$1000$$c{m^3}$
Hence, $1$ litre $=$$1000$$c{m^3}$
Hence $1000$$c{m^3}$ are there in $1$ litre.

Note: SI UNIT is the standard unit of measurement.
There are $7$ basic units of measurement. These are – metre, Ampere, kilogram, kelvin, second, candela and mole.
$1$ litre is defined as the volume occupied by a cube of length/side $10$ cm.
The standard unit of measuring volume is cubic metre $({m^3})$. Other units are also used such as cubic centimetre ($c{m^3}$), litres ($L$), millilitres ($mL$) etc.