12.2 Surface Area of Prisms and Cylinders

Lateral face

Oblique

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

Parts of a Right Prism

Height is the distance between the bases

base

base

facelateralfacelateral

facelateral

height

Different Right Prisms

All Prisms with a Right angle

Definition of an Oblique Prism

A prism with angles that are not right angles.

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

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..

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..

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

Define of a Cylinder

A Prism with a circular base

The net of a Cylinder

Two circles and a Rectangle

The Surface Area of a Cylinder

2 Bases + Circumference times height

HCBAS 2..

12

42

4 2

H

C

Base

The Surface Area of a Cylinder2 Bases + Circumference times height

HCBAS 2..

12

42

4 2

H

C

Base

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

HomeworkPage 732 – 734

# 13 – 43 odd,

49, 53

Homework

Page 732 – 734

# 14 – 44 even,

48, 55