1. 10-1 & 10-2: Space Figures, Nets & Diagrams
Objective: To recognize nets & to make isometric drawings of space figures.

2. Polyhedron: A 3-dimensional figure whose surfaces are polygons.
Faces: the polygons making
up the sides.
Edges: A segment that is formed by the intersection of two faces.
Vertex: A point where the three or
more edges intersect.
# of Faces:
# of Edges:
# of Vertices:

3. Space Figures and Nets
Net: A two-dimensional pattern that you can fold to form a three-dimensional figure. F F D A B C D A
Cube: A polyhedron with six faces, each of which is a square. E

4. #1 Identifying a Net Cube? Yes Opposite faces: A and C; B and E;
Is this pattern a net for a cube? If so, name the letters that will appear on opposite faces.
Cube? A
Yes
Opposite faces: B D E F
A and C;
B and E; C
D and F

5. #2 Drawing a Net
Draw a net for the graham cracker box. Label the net with its dimensions. 14
Graham
Crackers 20 20 14 20 20 7 7 7 7 14
Graham Crackers 20 14

6. Euler’s Formula:
The number of faces (F), vertices (V), and edges (E) of a polyhedron are related by the formula:

7. #3 Using Euler’s Formula:
Use Euler’s Formula to find the number of edges of a polyhedron with 6 faces and 8 vertices:

8. #4 Using Euler’s Formula:
Use Euler’s Formula to find the number of vertices of a polyhedron with 20 faces and 30 Edges:

9. Cross-Sections
Cross Section: The intersection of a solid and a plane.