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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.

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Q: How do you work out volume in shapes?
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Related questions

How do you work out the volume?

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.


Is volume only for 3D shapes?

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).


What have definite shapes and definite volume?

Solids have definite shapes and definite volume.


Can different shapes have the same Volume?

Yes many different shapes can have the same volume


How do you get the the volume of shapes?

by measuring the object


How do you find the volume of a composite figure?

You break up the composite figure into smaller shapes whose volumes you can work out, and them add them together.


What is the formula for measuring volume and mass in irregular shapes?

There is no formula for measuring the volume of irregular shapes. The mass can be measured by using a weighing scale.


What have indefinite shapes and definite volume?

water


What is the formula for volume of rectangle and circle and triangle?

There are none because volume only relates to 3 dimensional shapes and not 2 dimensional shapes as in the question.


What haves definite shapes and definite volumes?

Solids have definite shapes and definite volume.


Would you say that area is to 2-dimensional shapes as volume is to volume is to 2-dimensional figures?

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How do you work out rotation of shapes?

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.