Unit 10 · Measurement and Three-Dimensional Geometry
10.8Volume of Pyramids and Cones
Quick Answer
Volume of a pyramid: V = ⅓Bh. Volume of a cone: V = ⅓πr²h. A pyramid or cone holds exactly one-third the volume of a prism or cylinder with the same base and height.
Essential Question
Why is the volume of a pyramid exactly one-third the volume of a prism with the same base and height?
Learning Goals
- 1Apply the volume formula V = ⅓Bh for any pyramid.
- 2Apply the volume formula V = ⅓πr²h for a cone.
- 3Compare pyramid and prism volumes with the same base and height.
- 4Solve applied problems involving pyramid and cone volumes.
Key Vocabulary
Pyramid volume formula
V = ⅓Bh, where B is the base area and h is the height.
Cone volume formula
V = ⅓πr²h, where r is the base radius and h is the height.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.