Question

$ {\text{1 litre = __c}}{{\text{m}}^3}. $
(A) 100
(B) 100000
(C) 1000
(D) 10

Answer 1

Hint : One litre is the standard unit of the volume of a liquid. A litre ( $ L $ ) is the volume of a cube that measures $ {\text{10 cm}} $ ( $ {\text{1 dm}} $ ) on each side.

Complete step by step answer
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre. The SI unit of volume is the cubic meter ( $ {m^3} $ ), which is the volume occupied by a cube that measures $ 1m $ on each side. The volume of a cube is given by the product of the cube of the length of the side.
This very large volume is not very convenient for typical use in a chemistry laboratory.
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 10centimeter sides.
Thus,
 $ {\text{1 litre = 1}}{{\text{0}}^{\text{3}}}{\text{ c}}{{\text{m}}^{\text{3}}} $
 $ \Rightarrow {\text{1 litre = 1000 c}}{{\text{m}}^{\text{3}}}{\text{.}} $
Hence, one litre is equivalent to one thousand cubic centimetre.
The correct answer is Option C.

Note
One litre of water at 4 degree Celsius will exactly weigh equal to 1000 gram (1 kg). At this temperature the density of water standard. Or call it millilitre, the volume is the same.
In all other cases the weight varies depending upon the density of the matter. Even ice is lighter than water because the density of water below 4 degree Celsius is less than $ 1{g \mathord{\left/
 {\vphantom {g {cc}}} \right.} {cc}} $ .
Because we know that the molecular structure of an element or a compound determines its density and density is the standard comparison to standard density of water at 4 degree Celsius. The gram/cc weight of water at standard temperature of 4 degree Celsius at standard pressure at sea level that is at $ {\text{760}}{{{\text{cc}}} \mathord{\left/
 {\vphantom {{{\text{cc}}} {{\text{mm}}}}} \right.} {{\text{mm}}}}{\text{ Hg}} $ will exactly weigh $ 1{{{\text{cc}}} \mathord{\left/
 {\vphantom {{{\text{cc}}} {{\text{mm}}}}} \right.} {{\text{mm}}}} $ or one litre ( $ 1000cc $ ) will weigh 1000 gram.
Water is taken because for all calculations of density, specific heat etc. the density of water is taken as standard.