Stage 28 · Solid Geometry & Views

28.4.2 Cavalieri's Principle

28.4 Volume and Cavalieri's Principle: How Much It Holds

Point 2 of 5

28.4.2 Cavalieri's Principle

Core idea

Two stacks of books of equal height, with matching cross-sections at every level, are equally thick: same height and same cross-sections mean equal volume.

Module goal. Starting from the principle that equal heights and matching cross-sections mean equal volume, make clear where the volume formulas for prisms, cones, and spheres come from, rather than memorizing them.
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