Surface Areas

1
Surface Areas
Advanced Geometry Areas and Volumes Lesson 2
2

• Example
• Describe the cross sections from a horizontal
  and vertical slice of each solid.

Horizontal hexagon Vertical rectangle
3
Formulas
Prisms
Cylinders
Spheres
Pyramids
Cones
4
B ?
Perimeter of the BASE
Area of the BASE
P ?
B Formulas
P
Add all sides
h ?
height of the SOLID
l ?
slant height of the SOLID
5

• Example
• Find the lateral area. When necessary provide
  both the exact values and approximate values to
  the nearest hundredth.

6
Example Find the surface area of the regular
prism.
7
Example Find the lateral area.
8
Example Find the surface area of the regular
pyramid.
9
Example Find the lateral area.
10

• Example
• Find the radius of the base of a right cylinder
  if the surface area is 528 square feet and
  the height is 10 feet.

11

• Example
• Find the surface area.

12

• Example
• The surface area of a cone is 20 square
  centimeters and the diameter is 3 centimeters.
  Find the slant height of the cone.

13
Example Find the surface area of the sphere.
14

• Example
• Find the surface area of a sphere with the
  circumference of a great circle 5? centimeters.

15
Example Find the surface area of a hemisphere
with the radius of 3.8 inches.