# Pyramid Section (AR Modeling Challenge)

- Author:
- Tim Brzezinski

- Topic:
- Pyramid

In this GeoGebra Augmented Reality Modeling challenge, the goal is to author 2 surface equations (with domain restrictions) to recreate what is seen in the screencast below.
The .
3) The longer base of each units.

**blue surface**consists of 4 congruent isosceles trapezoids. The**pink surface**is a square.**Modeling Clues:**1) If the non-parallel edges of the**4 blue isosceles trapezoids**were to extend upwards, they would all meet at (0,0,5). That is, these**4 isosceles trapezoids**are part of a square pyramid whose apex lies at (0,0,5). 2) Suppose the height of this pyramid (described in (1)) =*h*. Suppose the distance from the center of the base of this pyramid to a vertex of this base =*r*. Here, in this screencast, we have**isosceles trapezoid**measures