3/27/12 How do we find surface area and lateral area of prisms and cylinders?

How do we find surface area and lateral area of prisms and cylinders?

 Prisms
- a prism is a solid figure with bases that are 2 congruent polygons
- the other sides of the prism are called  lateral faces
- a prism  is named by the shape of its bases
Ex:

- calculate the surface area of a prism by using the formula SA= LA+ 2B
 - " LA" represents the lateral area
- " B' represents the base
- Calculate the lateral are of a prism by using LA = ph
 - 'P' represents perimeter of a base
 - 'H' represents the height

Cylinders
Ex:

- calculate the lateral area using the formula 2(pi)rh
-'r' represents the radius
-' h' represents the height

- In order to calculate the the surface area multiple steps are made
- calculate the area of the base by using (pi)r^2
         - 'r' represents the radius
- multiple your answer by 2
- you then take your lateral area and add that with the number of the bases
    - you can go by this formula to calculate the sureface area of a cylinder  SA= LA +2B
-'LA' represents the lateral area
-'B' represents the base

Practice question : If the radius 'r' of a cylinder is 6 and the height ' h' is 4 , what is the lateral area of a cylinder?



                                           




                                            Citations 
-The 48 special crystal forms , University of wisconsin , greenbay , 1/20/11 , http://www.uwgb.edu/dutchs/symmetry/xlforms.htm

- Volume of a cylinder , Math homework series on geometry help , http://www.geometry-help.info/Volume_of_a_Cylinder.html, 2009