10-3 Surface Areas of Prisms and Cylinders

1
10-3Surface Areas of Prisms and Cylinders

• Objective To find the surface area of prisms
  and cylinders.

2
Types of Prisms
Lateral Edges
Lateral Faces
Bases
Bases
You name a prism by what shape its base is.
Triangular Prism
Pentagonal Prism
h
h
Oblique Prism
Right Prism
3
Theorem 10-1

• Lateral Area and Surface Area of a Prism

Base Perimeter
h
Lateral Area
Base Perimeter
Height
Base Area
Surface Area
Lateral Area
Base Area
4
Lateral Area Perimeter x height
5
Area Formulas

• Triangles
• Parallelograms
• Regular Polygons

6
1 Finding the Surface Area of a Prism
7
2 Finding the Surface Area of a Prism

• Find the surface area of the triangular prism.

12 cm
5 cm
6 cm
P 16
5 cm
5 cm
h
3 cm
8
3 Finding the Surface Area of a Prism

• Find the surface area of the regular hexagonal
  prism.

P 36
12 m
6 m
9
Theorem 10-2

• Lateral Area and Surface Area of a Cylinder

Base Area
Radius
Lateral Area
Radius
Height
h
Surface Area
Lateral Area
Base Area
10
4 Finding the Surface Area of a Cylinder

• Find the surface area of a cylinder with height
  10 cm and radius 5 cm in terms of pi.

5 cm
10 cm
11
5 Finding the Surface Area of a Cylinder

• Find the surface area of a cylinder with radius 6
  ft and height 9 ft in terms of pi.

9 ft
6 ft
12
Assignment

• Page 531
• 1-16 22