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Cavalieri's Principle and Spatial Measurement of 3D Solids

9th Grade · Math · Open Global Math

10 lessons

Goal

Use Cavalieri's principle and solid decomposition methods to derive and calculate surface areas and volumes of prisms, cylinders, pyramids, cones, spheres, and composite solids.

10 lessons
0 of 10 done
  1. Understanding Cavalieri's Principle for 2D and 3D FiguresUp next
  2. Volume and Surface Area of Right and Oblique PrismsNot started yet
  3. Volume and Surface Area of Right and Oblique CylindersNot started yet
  4. Deriving Pyramid Volume Through Cube DecompositionYou are here
  5. Deriving the Curved Surface Area of a Cone Using a SectorNot started yet
  6. Surface Area of Pyramids and ConesNot started yet
  7. Deriving the Volume and Surface Area of a Sphere Using Cavalieri's PrincipleNot started yet
  8. Comparing Volumes of Cylinders, Cones, and SpheresNot started yet
  9. Volume and Surface Area of FrustumsNot started yet
  10. Word Problems: Surface Areas and Volumes of Combined SolidsNot started yet
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Learning standards covered

GlobalOGM.10.TRG.2Open Global Math Standards 2026™ · 9th Grade

Derive and calculate arc length and sector area of circles, and calculate surface areas and volumes of right prisms, cylinders, pyramids, cones, and spheres using Cavalieri's principle and decomposition methods.