1. 11.5 Explore Solids
Mrs. vazquez
Geometry

2. g-gmd.2.4 Essential Question:
How is Euler’s Theorem to our unit of study?
Objective:
Students will be able to identify solids and their parts.

3. polyhedron
A solid bound by polygons (faces) that enclose a single region of space.
edge: intersection of two faces
vertex: a point where three or more edges meet

4. Polyhedra Include: prisms & pyramids Does not include: cones cylinders
spheres

5. naming polyhedra Prisms:
named by the shape of its base (on parallel planes)
Pyramids:
named by the shape of its base

6. convex/concave

7. Euler’s Theorem
The # of faces (F), vertices (V), & edges (E) of a polyhedron are related by the formula F + V = E + 2.

8. regular polyhedra A polyhedron is regular if all its F are ≅ polygons.
Platonic Solids:

9. cross sections
The intersection of a plane with a solid.