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Cavalieri's Principle

Geometry and Measures Cavalieri's Principle

🎬 Video Tutorial

(0:01) 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.
(1:18) Simple Volume Calculation: Use Cavalieri’s principle to find the volume of an inclined shape by calculating its upright equivalent’s volume with formula $\text{base area} \times \text{height}$.

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📂 Revision Cards

Two identical stacks of bread slices illustrate Cavalieri's principle, showing that even if one stack is tilted, the total volume remains unchanged. — 1) Cavalieri's Principle

Demonstrating Cavalieri's principle with bread example. The equation shows both stacks have the same volume (1200 cm³). — 2) Cavalieri's Principle

Cavalieri’s principle diagram comparing two solids with equal height and cross-sectional areas at every level, explaining they have the same volume. — 3) Cavalieri's Principle

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