Public learning track
Solid Geometry, Cavalieri's Principle, and Volume Justifications
10th Grade · Math · Open Global Math
8 lessons
Goal
Calculate lateral and total surface area and volume of standard and composite solids, justifying formulas through dissection and Cavalieri's principle.
Featured Diagrams
Lateral and Total Surface Area of Prisms and Cylinders
8 lessons
0 of 8 done
- 1Lateral and Total Surface Area of Prisms and CylindersUp nextStart
- 2Lateral and Total Surface Area of Pyramids and ConesPremiumNot started yet
- 3Surface Area and Volume of Spheres and HemispheresNot started yet
- 4Cavalieri's Principle for Prisms and CylindersNot started yet
- 5Dissection Arguments for Volume of Pyramids and ConesNot started yet
- 6Informal Argument: Volume of a Sphere Using Cavalieri's PrincipleNot started yet
- 7Surface Area and Volume of FrustumsNot started yet
- 8Surface Area and Volume of Composite Solids with CavitiesNot started yet
Curriculum Framework
10th Grade · Math · Open Global Math
1
9 lessons
Advanced 2D Measurement, Dissections, and Dimensional Scaling
Derive polygon and circle formulas through informal dissection and limit arguments, compute measures of complex composite figures, and analyze proportional and non-proportional dimensional scaling.
2
8 lessons
Solid Geometry, Cavalieri's Principle, and Volume Justifications
Calculate lateral and total surface area and volume of standard and composite solids, justifying formulas through dissection and Cavalieri's principle.
3
10 lessons
Cross-Sections, Solids of Revolution, and Geometric Modeling
Identify 2D slices and rotational solids, use geometric modeling to optimize physical designs under constraints, and solve density problems.