Stage 28 · Solid Geometry & Views

28.4.3 Volume of a Prism or Cylinder

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

Point 3 of 5

28.4.3 Volume of a Prism or Cylinder

Core idea

Use Cavalieri's principle to straighten the solid upright, and base area times height gives its volume, V = Sh.

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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