1. 14-1 Three-Dimensional Figures and Cross Sections
Objectives: Recognize a polyhedron and name its parts; describe and draw cross sections of space figures.
Polyhedrons
Some Three-Dimensional Figures
You can classify a solid
by the shape(s) of its
surfaces.

2. 14-1 Three-Dimensional Figures and Cross Sections
Euler’s Formula
F + V = E + 2
The sum of the number of faces (F) and vertices (V) of a polyhedron is
two more than the number of its edges (E).
In two dimensions, Euler’s Formula reduces to
F + V = E + 1,
where F is the number of regions formed by V vertices linked by E segments. 1.

3. 14-1 Three-Dimensional Figures and Cross Sections4. 2. 3.
Match each net below with a Platonic solid. 5.

4. 14-1 Three-Dimensional Figures and Cross Sections
Objectives: Recognize a polyhedron and name its parts; describe and draw cross sections of space figures.

5. 14-1 Three-Dimensional Figures and Cross Sections

6. 14-2 Surface Areas of Prisms and Cylinders

7. 14-2 Surface Areas of Prisms and Cylinders

8. 14-2 Surface Areas of Prisms and Cylinders
Lateral and Total Surface Areas of a Prism
Lateral and Total Surface Areas of a Cylinder

9. 14-2 Surface Areas of Prisms and Cylinders

10. 14-2 Surface Areas of Prisms and Cylinders