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Cavalieri's Principle

Geometry and Measures Cavalieri's Principle

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Cavalieri’s Principle for Volume: If two solids have the same height and identical cross-sectional areas, they have the same volume, even if they look different.
Simple Volume Calculation: Use Cavalieri’s principle to find the volume of an inclined shape by calculating its upright equivalent’s volume (base area × height).

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Two identical stacks of bread slices illustrate Cavalieri's principle, showing that even if one stack is tilted, the total volume remains unchanged.

Demonstrating Cavalieri's principle with bread example. The equation shows both stacks have the same volume (1200 cm³).

Cavalieri’s principle diagram comparing two solids with equal height and cross-sectional areas at every level, explaining they have the same volume.

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