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Q: When did Archimedes find out how to measure volume of an irregular shape?

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Archimedes took a bowl full of water of known volume and then dipped the irregular shape body. Amount of water fall down is measured and is the volume of that body.

Displacement

To measure volume of large irregular shaped objects you need a displacement can

You divide the irregular shape into a buch of smaller regular shapes. Find the volume for those, add them up...and you have the volumee.(:

By using Archimedes discovery that the volume of an object immersed in water is equal to the volume of water that it displaces.

use calculus and integrate or fill it with water and measure.

Insert the object into a container which has a known quantity of water, and measure the increase in the volume of water afterwards.

because the shape has no correct sides.

An irregular volume is something and anything that no one can actually measure. An example of this is a cylinder with a cone as its end; a complex equation is needed just to describe the shape that it has.

The volume of an irregular shape can be found by measuring the amount of displaced water when the object is placed in a measuring jar. In a measuring jar the difference between the two levels give the volume of displacement.

If the object is a regular geometric shape, you use the volume formula. If the object has an irregular shape, use the water displacement process.

Volume of irregular or regular shape object is the space reserved by the object in any medium.

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