Question

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

Answer 1

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.