In details

Generalization of the volume of a prism

To get the volume of a prism, let's use the Cavalieri principle (Italian mathematician, 1598 - 1697), which generalizes the concept of volume to various solids.

Dice two solids with same height and one plane , if every plan, parallel to , intercepts solids and determines sections of the same area, solids have equal volumes:

If 1 is a rectangle, then V2 = ABH. Thus, the volume of every prism and every parallelepiped is the product of the base area by the height measurement:

Vprism = ABH
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