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Notify me of new posts by email. Skip to content. How many vertices does a cone have? Say: The line segment where two faces meet is an edge. Hold up a solid figure and show students an example of an edge. Count the number of edges a rectangular prism has.
Mark each edge as you count. Similar to faces, use a marker, stickers, or sticky notes. Ask: How many edges does a rectangular prism have?
Say: The point where edges meet is a vertex. Count the number of vertices a rectangular prism has. Mark each vertex as you count.
Ask: How many vertices does a rectangular prism have? Have students find the number of faces, edges, and vertices of a cube and a pyramid. Record the answers in the table. Ask: Why do you think that a rectangular prism and a cube have the same number of faces, edges, and vertices?
Lead students to realize that the faces of a rectangular prism and a cube are all rectangles, but in the case of the cube, the rectangles are squares. A cube is a special type of rectangular prism. Look at the sphere. Ask: Does a sphere have any edges or vertices? This is not a simple question and requires thinking critically about what an edge or vertex is. For example, many real-world objects that we call spheres, such as soccer balls, are in fact complex solid shapes with many edges and vertices.
Say: Look at the cone. Ask: Does a cone have any edges? Again, consider using think-pair-share. Avoid telling students that they are right or wrong.
Instead, lead them to see that a cone only has one face, and you need more than one face to form an edge. The plural is vertices. For example a cube has eight vertices, a cone has one vertex and a sphere has none. A cone has one face, but no edges or vertices. Its face is in the shape of a circle. It has edges where faces meet each other or the base, vertices where two faces meet the base, and a vertex at the top where all of the triangular faces meet.
Also called facets or sides.
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