Question

1 litre is equivalent to __
(A) $1000mL$
(B) $100c{m}^3$
(C) $10mL$
(D) $10c{m}^3$

Answer 1

Hint : Litre is a measure of the volume of liquids. A litre ($L$) is the volume of a cube that measures $\text{10 cm}$ ($\text{1 dm}$) on each side. This question can be solved by deducing the equivalent volume of one litre according to the metric system.

Complete step by step answer
The metric system is a system of measurement that uses the meter, litre, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.
To measure smaller or larger quantities, we use units derived from the metric units.
The units to the right of the base unit are smaller than the base unit. As we move to the right, each unit is 10 times smaller or one-tenth of the unit to its left. So, a ‘deci’ means one-tenth of the base unit, ‘centi’ is one-tenth of ‘deci’ or one-hundredth of the base unit and ‘milli’ is one-tenth of ‘centi’ or one-thousandth of the base unit.
The units to the left of the base unit are bigger than the base unit. As we move to the left, each unit is 10 times greater than the unit to its right. So, a ‘deca’ means ten times of the base unit, ‘hecto’ isten times of ‘deca’ or hundred times of the base unit and ‘kilo’ is ten times of ‘hecto’ or thousand times of the base unit.
Volume of a fluid can also be expressed as Millilitre (mL) depending on how small the volume of the fluid is.
Just as in case of length, the SI unit, metre can be related to millimetre as $\text{1 m = 1000 mm}$,
We can deduce that one litre is equivalent to $1000mL$.
Hence, the correct answer is Option A.

Note
Litres are most commonly used for items (such as fluids and solids that can be poured) which are measured by the capacity or size of their container, whereas cubic metres (and derived units) are most commonly used for items measured either by their dimensions or their displacements. The litre is often also used in some calculated measurements, such as density ($Kg/\phantom{KgL}L$), allowing an easy comparison with the density of water.
A litre ($L$) is the volume of a cube that measures $\text{10 cm}$ ($\text{1 dm}$) on each side.
The definition of Litre is that it is a metric unit of capacity equal to one cubic decimeter.
Since 1 decimeter=10centimeter, $\text{1 dm = 10 cm}\text{.}$
Thus, the volume of one litre is equal to the volume of a cube of 10 centimeter sides.
Thus,
$\text{1litre = 1}{\text{0}}^{\text{3}}\text{ c}{\text{m}}^{\text{3}}$
$\Rightarrow \text{1litre = 1000 c}{\text{m}}^{\text{3}}\text{.}$
Hence, one litre is equivalent to one thousand cubic centimetre.
One litre of water has a mass of almost exactly one kilogram when measured at its maximal density, which occurs at about $4^{\circ }C$. It follows, therefore, that 1000th of a litre, known as one millilitre ($1mL$), of water has a mass of about 1 g; 1000 litres of water has a mass of about 1000 kg (1 tonne).