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Three-Dimensional Figures Lesson Presentation

Learn about different three-dimensional figures such as cylinders, cones, pyramids, and prisms. Identify their faces, edges, and vertices.

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Three-Dimensional Figures Lesson Presentation

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. 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. 452.16 ft2

  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

  4. Learn to name three-dimensional figures.

  5. Vocabulary polyhedron cylinder face pyramid edge cone vertex sphere prism base

  6. 10-6 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).

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

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

  9. 10-6 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. A pyramid has one polygon-shaped base and three or more triangular faces that share a vertex. 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 sphere has no base and one curved surface. All points on the surface are the same distance from a point called the center of the sphere.

  11. Helpful Hint Cones and spheres are not polyhedrons because they have curved surfaces.

  12. 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. Additional Example 2A: Naming Three-Dimensional Figures Name the three-dimensional figure represented by the object.

  13. 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. Additional Example 2B: Naming Three-Dimensional Figures Name the three-dimensional figure represented by the object.

  14. 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. Additional Example 2C: Naming Three-Dimensional Figures Name the three-dimensional figure represented by the object.

  15. 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. Check It Out: Example 2A Name the three-dimensional figure represented by the object.

  16. 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. Check It Out: Example 2B Name the three-dimensional figure represented by the object.

  17. 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. Check It Out: Example 2C Name the three-dimensional figure represented by the object.

  18. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  19. 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

  20. Lesson Quiz for Student Response Systems • 1. Identify the number of faces, edges, and vertices in the figure shown. • A. 9 faces, 21 edges, and 14 vertices • B. 21 faces, 9 edges, and 14 vertices • C. 9 faces, 14 edges, and 21 vertices • D. 21 faces, 14 edges, and 9 vertices

  21. Lesson Quiz for Student Response Systems 2. Identify the figure described.A square base with four triangles that come to a point. A. square prism B. square pyramid C. rectangular prism D. rectangular pyramid

  22. Lesson Quiz for Student Response Systems 3. Identify the figure described.A hexagonal base with six triangles that come to a point. A. hexagonal prism B. triangular prism C. hexagonal pyramid D. triangular pyramid

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