Pyramid Volume Challenge
25 minutes in class
Summary of Activity
Notes and Insights
This problem allows for at least two different solutions depending on how the function F is set up.
A possible extension is to ask the students to set up a similar problem in the two dimensional plane.
Another extension is to consider the problem in reverse. We fix the volume of a tetrahedron and think about the space that the tetrahedron can cover in the first octant if it moves around. That is the notion of envelope, and it requires a lot more tools than what we have in this course.