No, it is not part of the metric system. A quart is equivalent to .95 liters.
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Quarts are used in the English system, which is also known as the Imperial system of measurement. In the metric system, the equivalent of a quart is the liter.
Quarts are a capacity measure and are part of the Imperial Weights and Measures System. As such, quarts can be regarded as a part of the English system.
Bushels are a unit of measurement in the English system, not the metric system.
The fundamental unit that is the same in both the metric system and English system is the unit of mass, which is the pound (lb) in the English system and the kilogram (kg) in the metric system.
The gram is a unit of mass in the metric system.
The teaspoon measurement is commonly used in both the metric and English systems. In the metric system, a teaspoon is equivalent to 5 milliliters, while in the English system it is equal to about 4.9 milliliters.
The metric unit of measurement similar to an inch in the English system is the centimeter.