The main difference between Litre and Quart is that the Litre is a non-SI unit of volume and Quart is a unit of volume.
The litre (SI spelling) or liter (American spelling) (symbols L or l, sometimes abbreviated ltr) is an SI accepted metric system unit of volume equal to 1 cubic decimetre (dm3), 1,000 cubic centimetres (cm3) or 1/1,000 cubic metre. A cubic decimetre (or litre) occupies a volume of 10 cm×10 cm×10 cm (see figure) and is thus equal to one-thousandth of a cubic metre.
The original French metric system used the litre as a base unit. The word litre is derived from an older French unit, the litron, whose name came from Greek — where it was a unit of weight, not volume — via Latin, and which equalled approximately 0.831 litres. The litre was also used in several subsequent versions of the metric system and is accepted for use with the SI, although not an SI unit — the SI unit of volume is the cubic metre (m3). The spelling used by the International Bureau of Weights and Measures is “litre”, a spelling which is shared by almost all English-speaking countries. The spelling “liter” is predominantly used in American English.
One litre of liquid water has a mass of almost exactly one kilogram, because the kilogram was originally defined in 1795 as the mass of one cubic decimetre of water at the temperature of melting ice. Subsequent redefinitions of the metre and kilogram mean that this relationship is no longer exact.
The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups. Historically, the exact size of the quart has varied with the different values of gallons over time and in reference to different commodities. Presently, three kinds of quarts remain in use: the liquid quart and dry quart of the US customary system and the imperial quart of the British imperial system. All are roughly equal to one metric liter.
The metric unit of fluid measure, equal to one cubic decimetre. Symbols: l, L, ℓ
“You should be able to fill four cups with one litre of water.”
A measure of volume equivalent to a litre.
A unit of liquid capacity equal to two pints; one-fourth (quarter) of a gallon. Equivalent to 1.136 liters in the UK and 0.946 liter (liquid quart) or 1.101 liters (dry quart) in the U.S.
Four successive cards of the same suit.
A fourth; a quarter; hence, a region of the earth.