There are various formulas for finding the volume of three dimensional objects:
square: a3 (where a equals the side length)
rectangle: abc (where a, b, and c equal the three side lengths)
pyramid: (1/3)bh (where b equals base, and h equals height)
sphere: (4/3)pi.r3 (where r equals radius)
plus many more!
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To find the the area of a shape is to find the space that is enclosed within a 2D object. Do not mix it up with volume, which is the space enclosed within a 3D object.
The volume of a rectangle (or any other 2D object) is always zero. An object needs to be 3D to have volume.
The volume of anything is always the area of the base of the object times the height. Therefore, to find the volume the object must have a height, which makes volume work with all 3D shapes. If one is looking at a 2D shape, then there is no height so a volume cannot be calculated (note: areas may be found of 2D shapes).
Density of an object is defined as (mass)/(volume).
It's volume.