9.3 Prisms and Cylinders
1. Below please draw a 5‐sided polygon
and draw a 5‐sided polygonal region.
Remember polygonal regions are filled in!
2. Surface of a figure is the boundary
of a 3D figure.
3. Solid: The boundary and the region that
the surface encloses (something inside).
4. What are the following, Surface or Solid?
a) An Empty Shoe Box
b) Brick
c) Bubble
d) Book
Rectangular Solid:
a) # of faces
b) Opposite faces lie in _____________ planes
perpendicular planes
c) Other faces are __________
d) # of edges 12 e) # of vertices
6
parallel
8
What is unique about a cube? Draw this!
All of the 12 edges are ≅
Cylindrical Solids:
a) “Book” Definition: The set of points between a
region and its translation image in space, including the
region and its image.
b) OUR DEFINITION: Can the elevator go from the 1st
floor to the top floor without changing shape? These
elevators do not have to be in the shape of a cylinder
for an object to be a cylindrical solid.
Cylinder: Cylindrical solid with
bases in the shape of CIRCLE.
Prism: Cylindrical solid with bases
in the shape of POLYGON.
Be able to identify the following items
on a cylindrical solid.
a) Lateral Face The faces of the surface that are always //ograms.
b) Lateral Edge The intersection of two lateral faces.
c) Bases
The circle or polygon that defines
the cylindrical solid.
Be able to identify the following items
on a cylindrical solid.
base
a) Lateral Face
b) Lateral Edge
base
lateral
edge
lateral
edge
c) Bases
base
lateral laterallateral face edge face
What is the best way to describe the distance
between the 2 bases? Two parallel planes
Define a Right Prism: A prism in which the
lateral face is perpendicular to the bases.
If the prism is in the shape of a cylinder
we call these right cylinders. If the solids are
slanted we call these figures oblique.
A REGULAR prism is a right prism
whose base is a REGULAR polygon.
What does it mean to be TRUNCATED?
A surface or solid that has been cut
by a plane // to it's base.
Draw a right triangular prism, right cylindrical prism, and regular octagonal prism below.
Draw a right triangular prism, right cylindrical prism, and regular octagonal prism below.
Hierarchy of Cylindric Surfaces
surface
cylindric surface
cylinder
right cylinder
prism
oblique oblique
right prism
cylinder
prism
regular prism
box
cube