Length . . . meter
Volume . . . cubic meter, liter
Mass . . . . kilogram
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length: meter volume: cubic meter mass: kilogram
Liter
The meter in the SI, the foot in the Imperial system.
The best-known system of units is the SI, so I'll use it as an example. SI has several "base units", like meter (for length), kilogram (for mass), and seconds (for time) (a total of 7 base units). Other units are derived from the seven base units; for example, areas are measured in meters2, volumes in meters3, speeds and velocities in meters/second, etc.
The SI unit of mass is grams. The pound is also a common unit of weight in America (on Earth, mass and weight are equivalent).