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Area is the measure of how much surface an object has.
area
That is called the area.
Volume is how much an object can store - like how much can you put inside a box. Surface area is the sum of the area of an objects surfaces - such as if you have a box, find the area of one side. Then you just multiply it by 6 (because a box have 6 faces) to get the total area of an object's surface.
No volume is how much space an object takes up. Mass is the measure of the amount of matter in an object.