1. Surface Area
Total area on the surface of the figure, amount of paper needed to cover it

2. Define 3D Figures
Prism
bases defines name of shape, sides are all rectangles
2. Cylinder
bases are circles connected by a rectangle
3. Pyramid
One base, this dictates name, all sides are triangles that meet at one point
4. Cone
Pyramid with a circle for a base
Sphere
A circle rotated 360 degrees around one diameter

3. Net
Unfold the 3D Figure to get a 2D blueprint, this may help you determine areas of all the shapes that make up the figure. Are there other Nets for this 3D figure?

4. Nets of Solids Try to draw the 3D figure Prisms Pyramids Cylinders
Cones
Spheres
2. Try to draw the nets for the following 3D figures

5. Parts of Solids
Prisms – bases are the same, rectangles attach bases Pyramids – one base all sides are triangles

6. Steps to find Surface Area
Works for Prism, Pyramid or Cylinder
Draw a net and label the dimensions
Calculate the area of each face and base
Add all areas together Or
If Prism
Find perimeter of base and multiple by height
Find area of base and double it
Add two answers together

7. Example

8. Prisms
For all prisms finding the surface area is the same, should have 2 bases the same and sides are all rectangles (could be congruent), unless prism is tipped (sometimes have opposite sides congruent so really only need to find 3 areas) This even works for cylinders

9. Examples
Knowing that the circumference of the circle is the length of the rectangle

10. Pyramids Slant height – height of the triangular face of the pyramid
Height – is a perpendicular segment from vertex to base

11. Pyramid

12. Cones
Pyramid with a circular base, the face is not a triangle

13. Example

14. Summary
Prism – area of 2 bases plus area of all faces Pyramid – area of the base plus area of all triangles, half the perimeter of base times slant height plus apothem Cylinder – area of 2 circles, circumference of circle times height at them together Cone – area of the circles plus slant height times radius times radius

15. Homework
Pg 466 1, 3-9 Due next class Pg Due Wed