1. Holt CA Course 1 10-7 Three-Dimensional Figures Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview

2. Holt CA Course 1 10-7 Three-Dimensional Figures Warm Up Solve. Use 3.14 as an estimate for . 37.68 in.  56.52 cm  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. Holt CA Course 1 10-7 Three-Dimensional Figures Preparation for MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area of base × height); compare these formulas and explain the similarity between them and the formula for the volume of a rectangular solid. California Standards

4. Holt CA Course 1 10-7 Three-Dimensional Figures Vocabulary *3D - polyhedron face edge vertex *cube base

5. Holt CA Course 1 10-7 Three-Dimensional Figures A polyhedron is a three-dimensional object with flat surfaces, called faces, that are polygons. When two faces of a three-dimensional figure share a side, they form an edge. A point at which three or more edges meet is a vertex (plural: vertices). A cube is formed by 6 congruent square faces. It has 8 vertices and 12 edges.

6. Holt CA Course 1 10-7 Three-Dimensional Figures Teacher 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

7. Holt CA Course 1 10-7 Three-Dimensional Figures Student Practice 1: Identify the number of faces, edges, and vertices on each three-dimensional figure. A. B. 6 faces12 edges8 vertices5 faces9 edges6 vertices

8. Holt CA Course 1 10-7 Three-Dimensional Figures Two types of polyhedrons are prisms and pyramids. Prisms and pyramids are named for the shape of their bases. A base of a three- dimensional figure is a face by which the figure is measured or classified.

9. Holt CA Course 1 10-7 Three-Dimensional Figures The bottom face of a prism is not always one of its bases. For example, the bottom face of the triangular prism in Example 1 is not one of its triangular bases. Helpful Hint

10. Holt CA Course 1 10-7 Three-Dimensional Figures Other three-dimensional figures include cylinders and cones. These figures are not polyhedrons because their surfaces are not polygons.

11. Holt CA Course 1 10-7 Three-Dimensional Figures

12. Holt CA Course 1 10-7 Three-Dimensional Figures Teacher 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.

13. Holt CA Course 1 10-7 Three-Dimensional Figures Teacher 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.

14. Holt CA Course 1 10-7 Three-Dimensional Figures Teacher 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.

15. Holt CA Course 1 10-7 Three-Dimensional Figures Student Practice 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.

16. Holt CA Course 1 10-7 Three-Dimensional Figures Student Practice 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.

17. Holt CA Course 1 10-7 Three-Dimensional Figures Student Practice 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.

18. Holt CA Course 1 10-7 Three-Dimensional Figures Lesson Quiz 1. Identify the number of faces, edges, and vertices in the figure shown. Identify the figure described 2. two parallel 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 cone