1. Three-Dimensional Figures
10-6
Three-Dimensional Figures
Course 1
Warm Up
Problem of the Day
Lesson Presentation

2. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Warm Up
Solve. Use 3.14 for .
1. The diameter of a circle is 12 in. What is
the circumference?
37.68 in.
2. The radius of a circle is 9 cm. What is its circumference?
56.52 cm
3. Find the area of a circle with a 12 ft
radius.
ft2

3. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Problem of the Day
To measure the perimeter of her square patio, Becky used an old bicycle wheel with a 22 in. diameter. She rolled the wheel from one corner of the patio along the edge to the next. The wheel made 6.75 revolutions. What is the perimeter in feet of the patio? Use 3.14 for . ft

4. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Learn to name three-dimensional figures.

5. Insert Lesson Title Here
Course 1
10-6
Three-Dimensional Figures
Insert Lesson Title Here
Vocabulary
polyhedron
face
edge
vertex
prism
base
pyramid
cylinder
cone

6. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
A polyhedron is a three-dimensional object, or solid figure, with flat surfaces, called faces, that are polygons.
When two faces of a three-dimensional figure share a side, they form an edge. On a three-dimensional figure, a point at which three or more edges meet is a vertex (plural: vertices).

7. Additional Example 1: Identifying Faces, Edges, and Vertices
Course 1
10-6
Three-Dimensional Figures
Additional Example 1: Identifying Faces, Edges, and Vertices
Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B.
5 faces
8 edges
5 vertices
7 faces
15 edges
10 vertices

8. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Check It Out: Example 1
Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B.
6 faces
12 edges
8 vertices
5 faces
9 edges
6 vertices

9. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
A prism is a polyhedron with two congruent, parallel bases, and other faces that are all parallelograms. A prism is named for the shape of its bases. A cylinder also has two congruent, parallel bases, but bases of a cylinder are circular. A cylinder is not a polyhedron because not every surface is a polygon.

10. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
A pyramid has one polygon shaped base, and the other faces are triangles that come to a point. A pyramid is named for the shape of its base. A cone has a circular base and a curved surface that comes to a point. A cones is not a polyhedron because not every surface is a polygon.

11. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
The point of a cone is called its vertex.
Helpful Hint

12. Additional Example 2A: Naming Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Additional Example 2A: Naming Three-Dimensional Figures
Name the three-dimensional figure represented by the object.
There is a curved surface.
The figure is not a polyhedron.
There are two congruent, parallel bases.
The bases are circles.
The figure represents a cylinder.

13. Additional Example 2B: Naming Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Additional Example 2B: Naming Three-Dimensional Figures
Name the three-dimensional figure represented by the object.
All the faces are flat and are polygons.
The figure is a polyhedron.
There is one base and the other faces are triangles that meet at a point, so the figure is a pyramid. The base is a triangle.
The figure is a triangular pyramid.

14. Additional Example 2C: Naming Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Additional Example 2C: Naming Three-Dimensional Figures
Name the three-dimensional figure represented by the object.
All the faces are flat and are polygons.
The figure is a polyhedron.
There are two congruent, parallel bases, so the figure is a prism. The bases are rectangles.
The figure is a rectangular prism.

15. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Check It Out: Example 2A
Name the three-dimensional figure represented by the object.
All the faces are flat and are polygons.
The figure is a polyhedron.
There is one base and the other faces are triangles that meet at a point, so the figure is a pyramid. The base is a square.
The figure is a square pyramid.

16. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Check It Out: Example 2B
Name the three-dimensional figure represented by the object.
All the faces are flat and are polygons.
The figure is a polyhedron.
There are two congruent, parallel bases, so the figure is a prism. The bases are rectangles.
The figure is a rectangular prism.

17. Three-Dimensional Figures
Course 1
10-6
Three-Dimensional Figures
Check It Out: Example 2C
Name the three-dimensional figure represented by the object.
There is a curved surface.
The figure is not a polyhedron.
There are two congruent, parallel bases.
The bases are circles.
The figure represents a cylinder.

18. Three-Dimensional Figures Insert Lesson Title Here
Course 1
10-6
Three-Dimensional Figures
Insert Lesson Title Here
Lesson Quiz
1. Identify the number of faces, edges, and vertices in the figure shown.
Identify the figure described
2. two congruent circular faces connected by a curved surface
3. one flat circular face and a curved lateral surface that comes to a point
8 faces, 18 edges, and 12 vertices
cylinder
cone