We will be studying
3­dimensional figures
... finding area,
volume and drawing
different views of
them. So let's start by
learn all the different
parts of them.
9.3 Prisms and Cylinders
Type
• Right
• Hexagonal
• Prism
A
Faces 8 total
Surface
• "hollow" 3­D figure Bases top & bottom, always ll and
(ABCDEF & GHIJKL ­ 2 total)
Solid
• Filled in 3­D figure Lateral Faces rectangles, sides (FEKL ­ 6 total)
B
C
F
E
Edges (18 total)
Lateral Edges intersection of 2 lateral faces
(FL, EK, DJ, CI, BH, AG ­ 6 total)
D
Vertices A, B, C, ... (12 total)
G
Diagonals connection of 2 non­adjacent vertices
H
(go through the figure) BL, AK, ...
L
I
K
J
Skew Lines lines that do not lie in the same plane
and do not intersect. (EK & AB)
Naming Surfaces • Right or Oblique
• Shape of base
• Prism or Pyramis
Naming 3­D figures...
Examples
1.
Soda can
2.
Ice cream
cone
3.
Leaning
tower of
piza
• Right
• Oblique
• Type of base
• Prism (2­bases)
• Pyramid (1­base)
Drawing Surfaces: Start with the base, make it a "squished" regular figure
Cylinder ­ The surface of a cylindric solid whose base is a circle.
Right
­bases are parallel
­bases are
perpendicular to edges
­spinning on the axis it
will not "wobble"
Oblique
­bases are parallel
­edges are not
perpendicular to bases
­spinning on the axis it
will "wobble"
Prism ­ The surface of a solid whose base is a polygon.
Right
­bases are parallel
­bases are
perpendicular to edges
­Lets draw a pentagonal
prism
Oblique
­bases are parallel
­edges are not
perpendicular to bases
Find the height of the oblique cylinder
13
4
Find the area of the base.
5