# The Volume of Prisms and Cylinders and Cavalieri’s Principle

##### This The Volume of Prisms and Cylinders and Cavalieri’s Principle assessment also includes:

Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not have to be the same but do need to have the same heights.

CCSS: Designed

##### Instructional Ideas

• Use two different solids that would have the same cross sectional areas, such as a cylinder and prism
##### Classroom Considerations

• Some pupils may have a problem with recognizing equal areas, especially if the shapes are different
• Parallel slices are the same as cross sections
• The tenth module in a 14-part series
##### Pros

• Provides concrete examples of Cavalieri's Principle
• The proof is not a complicated rigorous proof; it is more informal and can be understood at this grade level

• None