Spatial Reasoning

Previously, you
• analyzed properties of figures
in a plane.
• found the perimeters and
areas of triangles, circles,
polygons, and composite
figures.
• studied the effects of
changing dimensions of
polygons proportionally.
Key
Vocabulary/Vocabulario
cone
cylinder
net
polyhedron
prism
pyramid
sphere
cono
cilindro
plantilla
poliedro
prisma
pirámide
esfera
surface area
volume
área total
volumen
You will study
• properties of threedimensional
figures.
• the surface areas and volumes
of three-dimensional figures.
• the effects of changing
dimensions of threedimensional
figures
proportionally.
You can use the skills
learned in this chapter
• in all your future math
classes, including Precalculus.
• to study other fields such
as chemistry, physics, and
architecture.
• to solve problems concerning
interior design, packaging,
and construction.
Vocabulary Connections
To become familiar with some of the
vocabulary terms in the chapter, consider
the following questions. You may refer to
the chapter, the glossary, or a dictionary if
you like.
1. The word polyhedron begins with the
root poly-. List some other words that
begin with poly-. What do all of these
words have in common?
2. The word cone comes from the root
ko-, which means “to sharpen.” Think of
sharpening a pencil. How do you think
this relates to a cone?
3. What does the word surface mean?
What do you think the surface area of
a three-dimensional figure is?
4. The figure shown is a net for a cube.
How do you think a net is related to a
three-dimensional object?
652 Chapter 10