Question

Write the relation between ‘liter’ and ‘$c{m}^3$’

Answer 1

Hint: A liter is equal to a cubic decimeter. Note that, we can easily convert centimeters into decimeters and convert it into liters.
On the other hand, a cubic centimeter is the same as a milliliter. Here we can convert milliliters into liters and find the relation between cubic centimeters and liters.

Complete step-by-step solution:
A liter is defined as a special name for a cubic decimetre or ($$10$$ centimeters $\times$ $$10$$ centimeters $\times$ $$10$$ centimeters) ($$1L\equiv 1dm3\equiv 1000cm3$$ ).
Hence $$1L\equiv 0.001m3\equiv 1000cm3$$ ,
and $$1m^3$$ (i.e. a cubic meter is the SI unit for volume) is the same as$$1000L$$ .
To convert between $$c{m}^3$$ and liters, it is helpful to know that a $$c{m}^3$$ is the same as a milliliter$$\left(mL\right)$$.
$$1c{m}^3=1mL$$
and the relation between $$mL$$ and $$liters$$ is
$$1000mL=1L$$
Therefore the conversion factor between $$c{m}^{3}andL$$ is $$1000c{m}^3=1L$$

Note: Liter is the derived unit of cubic meter cube and milliliter is the derived unit of cubic centimeter cube.