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Explore Three-Dimensional Figures in Geometry

Understand polyhedrons, prisms, cylinders, cones, and pyramids. Learn to identify faces, edges, and vertices in various shapes. Practice naming and distinguishing 3D figures effectively.

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Explore Three-Dimensional Figures in Geometry

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

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

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

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

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

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

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

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

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

  10. Three-Dimensional Figures 10-6 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 Additional Example 2A: Naming Three-Dimensional Figures Name the three-dimensional figure represented by the object.

  11. Three-Dimensional Figures 10-6 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 Additional Example 2B: Naming Three-Dimensional Figures Name the three-dimensional figure represented by the object.

  12. Three-Dimensional Figures 10-6 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 Additional Example 2C: Naming Three-Dimensional Figures Name the three-dimensional figure represented by the object.

  13. Three-Dimensional Figures 10-6 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 Check It Out: Example 2A Name the three-dimensional figure represented by the object.

  14. Three-Dimensional Figures 10-6 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 Check It Out: Example 2B Name the three-dimensional figure represented by the object.

  15. Three-Dimensional Figures 10-6 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 Check It Out: Example 2C Name the three-dimensional figure represented by the object.

  16. Three-Dimensional Figures 10-6 Course 1 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

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