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12.2 Surface Area of Prisms and Cylinders
Lateral face
Oblique
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Definition of a Prism
A Prism is a solid having bases or ends that are parallel, congruent polygons and sides that are parallelograms.
http://dictionary.reference.com/browse/prism
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Parts of a Right Prism
Height is the distance between the bases
base
base
facelateralfacelateral
facelateral
height
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Different Right Prisms
All Prisms with a Right angle
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Definition of an Oblique Prism
A prism with angles that are not right angles.
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A way to show the surface of a Prism
A two Dimensional representation of a prism is called a net
H
W
H
L
W
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Right Prism Theorem
The Surface Area of a Prism is two bases plus the lateral faces.
Lateral faces = Height times Perimeter
B is Base
P is Perimeter
H is Height
HPBAS 2..
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Right Prism Theorem
The Base is 4(7)= 28
Perimeter is 2(4)+2(7) = 22
Height is 5
S.A. = 2(28) + 22(5)
S.A. = 166
HPBAS 2..
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Another way is adding all the faces and bases
The equation
S.A. = 2(W·H + W·L + H·L)
W = 4; L = 7; H = 5
166832..
3528202..
7574542..
AS
AS
AS
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Define of a Cylinder
A Prism with a circular base
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The net of a Cylinder
Two circles and a Rectangle
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The Surface Area of a Cylinder
2 Bases + Circumference times height
HCBAS 2..
12
42
4 2
H
C
Base
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The Surface Area of a Cylinder2 Bases + Circumference times height
HCBAS 2..
12
42
4 2
H
C
Base
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The Surface Area of a Cylinder2 Bases + Circumference times height
HCBAS 2..
12
42
4 2
H
C
Base
128..
9632..
128162..
AS
AS
AS
hrrAS 22.. 2
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HomeworkPage 732 – 734
# 13 – 43 odd,
49, 53
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Homework
Page 732 – 734
# 14 – 44 even,
48, 55