This document discusses the surface area formulas for prisms and cylinders. For prisms, the surface area is calculated as the perimeter of the base multiplied by the height plus two times the area of the base. For cylinders, the surface area is calculated as two times pi times the radius times the height plus two times pi times the radius squared. The document provides examples of applying these formulas and assigns homework problems calculating surface areas of various prisms and cylinders.

1. 12.2 Prisms & Cylinders March 27, 2012
Bellwork
Choose 3 different shapes from the back
table.
Find the # of faces, vertices & edges of each.
Name each shape.
HW pg. 806 #4­9, 13­15, 18­20 1

2. 12.2 Prisms & Cylinders March 27, 2012
12.2 Surface Area
Bases
Lateral faces
Lateral edges
Surface Area:
the sum of the areas of all surfaces that enclose the solid
Lateral Area:
the sum of the areas of all lateral faces
Prisms:
perimeter of the base*height of the prism
+
area of the base*2
S.A. Prism = Ph + 2b
HW pg. 806 #4­9, 13­15, 18­20 2

3. 12.2 Prisms & Cylinders March 27, 2012
HW pg. 806 #4­9, 13­15, 18­20 3

4. 12.2 Prisms & Cylinders March 27, 2012
Cylinders:
Cylinder S. A.
= (2πr﴿h + 2﴾πr2)
Circumference of the base*height of the cylinder
+
2*the area of the base
HW pg. 806 #4­9, 13­15, 18­20 4

5. 12.2 Prisms & Cylinders March 27, 2012
a) b)
10
6 12.2
8 6.5
7 7
HW pg. 806 #4­9, 13­15, 18­20 5

6. 12.2 Prisms & Cylinders March 27, 2012
c) d
h
D
D = 15, d = 7, h = 12
HW pg. 806 #4­9, 13­15, 18­20 6

7. 12.2 Prisms & Cylinders March 27, 2012
HW:
12.2 pg. 806
#4-9, 13-15, 18-20
HW pg. 806 #4­9, 13­15, 18­20 7