1. Introduction to Three-Dimensional
Introduction to Three-Dimensional
10-1 Figures
10-1
Figures
Warm Up
Problem of the Day
Lesson Presentation
Course 2 2
Course
2. Introduction to Three-Dimensional
10-1 Figures
Warm Up
Identify each two-dimensional figure
described.
1. four sides that are all congruent rhombus
2. six sides hexagon
3. four sides with parallel opposite sides
parallelogram
4. four right angles and four congruent sides
square
Course 2
3. Introduction to Three-Dimensional
10-1 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
Course 2
6. Introduction to Three-Dimensional
10-1 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.
A polyhedron is a three-dimensional figure
whose faces are all polygons. A vertex of a
polyhedron is a point where three or more
edges meet. The face that is used to name a
polyhedron is called a base.
A prism has two bases, and a pyramid has
one.
Course 2
7. Introduction to Three-Dimensional
10-1 Figures
Prisms
A prism is a polyhedron that has two parallel,
congruent bases. The bases can be any
polygon. The other faces are parallelograms.
Course 2
8. Introduction to Three-Dimensional
10-1 Figures
Pyramids
A pyramid is a polyhedron that has one base.
The base can be any polygon. The other faces
are triangles.
Course 2
9. Introduction to Three-Dimensional
10-1 Figures
Additional Example 1A: Naming Prisms and Pyramids
Identify the bases and faces of the figure.
Then name the figure.
There are two octagonal bases.
There are eight rectangular faces.
The figure is an octagonal prism.
Course 2
10. Introduction to Three-Dimensional
10-1 Figures
Additional Example 1B: Naming Prisms and Pyramids
Identify the bases and faces of the figure.
Then name the figure.
There is one base, and it is a
pentagon.
There are five triangular faces.
The figure is a pentagonal
pyramid.
Course 2
11. Introduction to Three-Dimensional
10-1 Figures
Additional Example 1C: Naming Prisms and Pyramids
Identify the bases and faces of the figure.
Then name the figure.
There is one base, and it is a
triangle.
There are three triangular faces.
The figure is a triangular
pyramid.
Course 2
12. Introduction to Three-Dimensional
10-1 Figures
Additional Example 1D: Naming Prisms and Pyramids
Identify the bases and faces of the figure.
Then name the figure.
There are two bases, and they
are both hexagons.
There are six rectangular faces.
The figure is a hexagonal
prism.
Course 2
13. Introduction to Three-Dimensional
10-1 Figures
Check It Out: Example 1A
Identify the bases and faces of the figure.
Then name the figure.
There are two bases and they are
both triangles.
There are three rectangular faces.
The figure is a triangular prism.
Course 2
14. Introduction to Three-Dimensional
10-1 Figures
Check It Out: Example 1B
Identify the bases and faces of the figure.
Then name the figure.
All faces and bases are congruent
squares.
The figure is a cube.
Course 2
15. Introduction to Three-Dimensional
10-1 Figures
Other three-dimensional figures include cylinders
and cones. These figures are not polyhedrons
because they are not made of faces that are all
polygons.
Course 2
17. Introduction to Three-Dimensional
10-1 Figures
Additional Example 2A: Classifying Three-
Dimensional Figures
Classify each figure as a polyhedron or not a
polyhedron. Then name the figure.
The faces are all
polygons, so the figure
is a polyhedron.
There is one rectangular
base for each figure.
The figure is made up of
a rectangular pyramid
and a rectangular prism.
Course 2
18. Introduction to Three-Dimensional
10-1 Figures
Additional Example 2B: Classifying Three-
Dimensional Figures
Classify each figure as a polyhedron or not a
polyhedron. Then name the figure.
The faces are not all polygons, so
the figure is not a polyhedron.
There is one circular base.
The figure is a cone.
Course 2
19. Introduction to Three-Dimensional
10-1 Figures
Additional Example 2C: Classifying Three-
Dimensional Figures
Classify each figure as a polyhedron or not a
polyhedron. Then name the figure.
The faces are not all polygons, so
the figure is not a polyhedron.
There are two circular base.
The figure is a cylinder.
Course 2
20. Introduction to Three-Dimensional
10-1 Figures
Check It Out: Example 2A
Classify each figure as a polyhedron or not a
polyhedron. Then name the figure.
The faces are not all
polygons, so the figure is
not a polyhedron.
There is one circular base
for the top figure and two
circular bases for the
bottom figure.
The figure is made up of
a cylinder and a cone.
Course 2
21. Introduction to Three-Dimensional
10-1 Figures
Check It Out: Example 2B
Classify each figure as a polyhedron or not a
polyhedron. Then name the figure.
The faces are all polygons, so
the figure is a polyhedron.
There are two triangular
bases for the figure.
The figure is a triangular
prism.
Course 2
22. Introduction to Three-Dimensional
10-1 Figures
Check It Out: Example 2C
Classify each figure as a polyhedron or not a
polyhedron. Then name the figure.
The faces are all
polygons, so the figure
is a polyhedron.
There is one rectangular
base for the figure.
The figure is a
rectangular pyramid.
Course 2
23. Introduction to Three-Dimensional
10-1 Figures
Lesson Quiz: Part I
Identify the bases and faces of each figure.
Then name each figure.
1.
One square base, 4 triangular
faces; square pyramid
2. Two pentagon bases, 5 rectangular
faces; pentagonal prism
Course 2
24. Introduction to Three-Dimensional
10-1 Figures
Lesson Quiz: Part II
Classify each figure as a polyhedron or not a
polyhedron. Then name the figure.
3. polyhedron,
rectangular prism
polyhedron,
4.
triangular prism
Course 2
