Prisms and Pyramids

An interesting relationship exists between the volume of a cylinder and the volume of a cone that has the same height and same base area, namely, the volume of the cylinder is three times the volume of the corresponding cone. That same relationship exists between the volume of a prism and the volume of its corresponding pyramid.

These objects I've uploaded can be used with students to demonstrate this relationship. For example, if you fill the cone with water, sand, or rice, and then empty the contents of the cone into the corresponding cylinder, you'll find that you will have to repeat this process three times to fill the cylinder.

I am a teacher of blind and visually impaired high school students. I composed these objects in OpenSCAD to be used with my students to illustrate the concept of the relationship between the volumes of the pointy objects and their corresponding non-pointy objects. However, these objects can be used with any student, visually impaired or not, to illust