1. 9-1 Introduction to Three-Dimensional Figures Warm Up
Course 2
Warm Up
Problem of the Day
Lesson Presentation

2. 9-1 Introduction to Three-Dimensional Figures Warm Up
Course 2
9-1
Introduction to Three-Dimensional Figures
Warm Up
Identify each two-dimensional figure described.
1. four sides that are all congruent
2. six sides
3. four sides with parallel opposite sides
4. four right angles and four congruent sides
rhombus
hexagon
parallelogram
square

3. 9-1 Introduction to Three-Dimensional Figures Problem of the Day
Course 2
9-1
Introduction to Three-Dimensional Figures
Problem of the Day
If the figure shown is folded into a cube so that 6 is on the top, what number would be on the bottom? 2

4. 9-1 Learn to identify various three-dimensional figures.
Course 2
9-1
Introduction to Three-Dimensional Figures
Learn to identify various three-dimensional figures.

5. Insert Lesson Title Here
Course 2
9-1
Introduction to Three-Dimensional Figures
Insert Lesson Title Here
Vocabulary
pyramid
lateral surface
cylinder
cone
sphere
hemisphere
face
edge
vertex
base
polyhedron
prism

6. Do you remember your 3D shapes?

7. 9-1 Introduction to Three-Dimensional Figures
Course 2
9-1
Introduction to Three-Dimensional Figures
Three-dimensional figures, or solids, have length, width, and height. A flat surface of a solid is a face. An edge is where two faces meet, and a vertex is where three or more edges meet (corner). The face that is used to classify a solid is a base (bottom shape).
The surfaces of a three-dimensional figure determine the type of solid it is. A polyhedron is a three-dimensional figure whose surfaces, or faces, are all polygons. Prisms and pyramids are two types of polyhedrons.

8. 9-1 Introduction to Three-Dimensional Figures Prisms
Course 2
9-1
Introduction to Three-Dimensional Figures
Prisms
A prism is a polyhedron that has two parallel congruent bases (top and bottom base are the same shape). The bases can be any polygon. The other faces are parallelograms.
A cube is a special prism whose faces are all congruent squares.

9. 9-1 Introduction to Three-Dimensional Figures Pyramids
Course 2
9-1
Introduction to Three-Dimensional Figures
Pyramids
A pyramid is a polyhedron that has one base. The base can any polygon. The other faces are triangles.
A regular tetrahedron is a special pyramid whose faces are all congruent equilateral triangles.

10. 9-1 Introduction to Three-Dimensional Figures
Course 2
9-1
Introduction to Three-Dimensional Figures
Prisms and polygons are named by the shapes of their bases.

11. Additional Example 1: Naming Prisms and Pyramids
Course 2
9-1
Introduction to Three-Dimensional Figures
Additional Example 1: Naming Prisms and Pyramids
Identify the base or bases of the solid. Then name the solid. A.
There are two bases, and they are
both octagons.
The other faces are parallelograms.
The figure is an octagonal prism.

12. Additional Example 2: Naming Prisms and Pyramids
Course 2
9-1
Introduction to Three-Dimensional Figures
Additional Example 2: Naming Prisms and Pyramids
Identify the base or bases of the solid. Then name the solid. B.
There is one base, and it is a pentagon.
The other faces are triangles.
The figure is a pentagonal pyramid.

13. 9-1 Introduction to Three-Dimensional Figures Try This: Example 3
Course 2
9-1
Introduction to Three-Dimensional Figures
Try This: Example 3
Identify the base or bases of the solid. Then name the solid. A.
There are two bases and they are both triangles.
The other faces are parallelograms.
The figure is a triangular prism.

14. 9-1 Introduction to Three-Dimensional Figures Try This: Example 4
Course 2
9-1
Introduction to Three-Dimensional Figures
Try This: Example 4
Identify the base or bases of the solid. Then name the solid. B.
All faces are congruent squares.
The figure is a cube.

15. 9-1 Introduction to Three-Dimensional Figures
Course 2
9-1
Introduction to Three-Dimensional Figures
Other three-dimensional figures include cylinders, cones, and spheres. These figures are different from polyhedrons because they each have a curved surface and their bases are not polygons. The curved surface of a cylinder or a cone is called a lateral surface.

16. 9-1 Introduction to Three-Dimensional Figures 2 bases
Course 2
9-1
Introduction to Three-Dimensional Figures
2 bases
A cylinder has two parallel, congruent circular bases connected by a lateral surface.
Lateral surface
A cone has one circular base and a lateral surface. The lateral surface of a cone comes to a point called its vertex.
1 base
Lateral surface
Vertex

17. 9-1 Introduction to Three-Dimensional Figures
Course 2
9-1
Introduction to Three-Dimensional Figures
A sphere has only one surface, which is curved, and has no base. All of the points on the surface are the same distance from the center
of the sphere.
A plane that intersects a sphere through its center divides the sphere into two halves, or hemispheres.

18. Additional Example 5: Identifying Combinations of Solids
Course 2
9-1
Introduction to Three-Dimensional Figures
Additional Example 5: Identifying Combinations of Solids
Tell what solids make up each figure. A.
The figure is made up of a rectangular pyramid and a rectangular prism.

19. Additional Example 6: Identifying Combinations of Solids
Course 2
9-1
Introduction to Three-Dimensional Figures
Additional Example 6: Identifying Combinations of Solids
Tell what solids make up each figure. B.
The figure is made up of a hemisphere and a cone.

20. 9-1 Introduction to Three-Dimensional Figures Try This: Example 7
Course 2
9-1
Introduction to Three-Dimensional Figures
Try This: Example 7
Tell what solids make up each figure. A.
The figure is made up of a
cone and a cylinder.

21. Insert Lesson Title Here
Course 2
9-1
Introduction to Three-Dimensional Figures
Insert Lesson Title Here
Try This: Example 8
Tell what solids make up each figure. B.
The figure is made up of a cylinder and a hemisphere.

22. Insert Lesson Title Here
Course 2
9-1
Introduction to Three-Dimensional Figures
Insert Lesson Title Here
Lesson Quiz
Identify the type of each prism or pyramid. 1. 2.
square pyramid
pentagonal prism
Identify the figure described.
3. two congruent circular faces connected by a curved
surface
cylinder
4. one circular face and a curved lateral surface that
comes to a point called a vertex
cone