# math geometry 101

**Question description**

A pentahedron is a polyhedron with 5 faces. The Crawleys wish to build a house in the shape of a pentahedron. This particular polyhedron is constructed out of the polygons X, Y and Z below. X is an isosceles right triangle. Y and Z are different sized rectangles; Y is shorter than Z. All dimensions labeled below are in feet.

How many of each polygon do we need in order to construct this house and why? Your discussion here should provide the missing dimensions of the polygons X, Y, and Z as well as a description of how they are found. "put picture here"

How many vertices and how many edges will the house have? Beyond actually counting these on the final product, how do you know these numbers based on the original polygons X, Y, and Z?

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