Title: Warm Up
1Warm Up
Problem of the Day
Lesson Presentation
2Warm 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
3A 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).
4Video
5Additional Example 1 Identifying Faces, Edges,
and Vertices Identify the number of faces, edges,
and vertices on each three-dimensional
figure. A. B.
6Check It Out Example 1 Identify the number of
faces, edges, and vertices on each
three-dimensional figure. A. B.
7A 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.
8A 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.
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10Additional Example 2A Naming Three-Dimensional
Figures Name the three-dimensional figure
represented by the object.
11Additional Example 2B Naming Three-Dimensional
Figures Name the three-dimensional figure
represented by the object.
12Additional Example 2C Naming Three-Dimensional
Figures Name the three-dimensional figure
represented by the object.
13Check It Out Example 2A Name the
three-dimensional figure represented by the
object.
14Check It Out Example 2B Name the
three-dimensional figure represented by the
object.
15Check It Out Example 2C Name the
three-dimensional figure represented by the
object.
16Insert 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