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Cavalieri's Principle

Geometry and Measures Cavalieri's Principle

🎬 Video Tutorial

(0:01) What is Cavalieri’s Principle?: Cavalieri’s principle states that if two solids have the same height and identical cross-sectional areas, they have the same volume, even if they look different.
(1:18) How to Use Cavalieri’s Principle for 3D Shapes: Use Cavalieri’s principle to find the volume of an inclined shape by calculating its upright equivalent’s volume with the formula $\text{base area} \times \text{height}$.

📂 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 Introduction

Demonstrating Cavalieri's principle with bread example. The equation shows both stacks have the same volume (1200 cm³). — 2) What is 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) Use Cavalieri's Principle in 3D

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