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

2. Warm Up Solve. Use 3.14 for . 37.68 in. 56.52 cm Course 1 10-6 Three-Dimensional Figures 452.16 ft 2 1. The diameter of a circle is 12 in. What is the circumference? 2. The radius of a circle is 9 cm. What is its circumference? 3. Find the area of a circle with a 12 ft radius.

3. 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 . 155.43 ft Course 1 10-6 Three-Dimensional Figures

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

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

6. 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). Course 1 10-6 Three-Dimensional Figures

7. Additional Example 1: Identifying Faces, Edges, and Vertices Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B. 5 faces8 edges5 vertices7 faces15 edges10 vertices Course 1 10-6 Three-Dimensional Figures

8. Check It Out: Example 1 Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B. 6 faces12 edges8 vertices5 faces9 edges6 vertices Course 1 10-6 Three-Dimensional Figures

9. 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. Course 1 10-6 Three-Dimensional Figures

10. 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. Course 1 10-6 Three-Dimensional Figures

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

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

13. Additional Example 2B: Naming Three- Dimensional Figures Name the three-dimensional figure represented by the object. The figure is a polyhedron.All the faces are flat and are polygons. The figure is a triangular pyramid.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. Course 1 10-6 Three-Dimensional Figures

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

15. Check It Out: Example 2A Name the three-dimensional figure represented by the object. The figure is a polyhedron.All the faces are flat and are polygons. The figure is a square pyramid.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. Course 1 10-6 Three-Dimensional Figures

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

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

18. 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 cylinder 8 faces, 18 edges, and 12 vertices Insert Lesson Title Here cone Course 1 10-6 Three-Dimensional Figures