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(2) Cross Sections of a Pyramid

Create different types of cross sections by slicing a pyramid with a plane.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

List the possible shapes of a cross section of a rectangular pyramid.

What is the shape of a cross section of a rectangular pyramid that is parallel to its base? What happens when you slice the pyramid farther away from the base, keeping the cross section parallel to the base?

What does it mean to cut "orthogonal" to the base's sides?

Can a pyramid be made by "stacking" 2-dimensional shapes vertically? If so, describe the shape(s) needed to make this stacking happen.