There are formulas for many basic shapes, but that doesn't solve the problem for shapes that cannot be subdivided into those.
The analytical way to calculate volumes is to use a defined integral over whichever functions define the borders of that space.
This only works when it is actually possible to define those functions, but even then it can be a very difficult process that can take more time than the maximum required.
To avoid this problem, whether the functions are known or there are measurements of the surfaces that limit the volume, there are computational methods that result in an approximation, to the volume, with arbitrary precision, which is all that is needed in practice.
There are formulas for regular shapes. Not all shapes have formulas; for these you can fill them with liquid and measure or weigh the contents.
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).
Solids have definite shapes and definite volume.
Yes many different shapes can have the same volume
by measuring the object
You break up the composite figure into smaller shapes whose volumes you can work out, and them add them together.
There is no formula for measuring the volume of irregular shapes. The mass can be measured by using a weighing scale.
water
There are none because volume only relates to 3 dimensional shapes and not 2 dimensional shapes as in the question.
Solids have definite shapes and definite volume.
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You can work out the rotation of shapes by identifying the transformations and the rotations.Ê The measurements of the rotation of shapes are expressed in degrees.