​Surface Area of Prisms

About Geometry Worksheet Assignment 8.18:                   

 

Assignment 8.18 is an introduction to surface area of prisms.

 

Prerequisite Skills:  Identify faces of prisms (Assignment 8.17).  Find areas of rectangles and squares (Assignment 8.3).  Find areas of triangles (Assignment 8.6).  Find areas of regular polygons (Assignment 8.9).

 

Definition:   A cube is a prism in which all faces are squares.  A rectangular solid is a prism in which all faces are rectangles.                                                  

                

                                                                                                                                                                                     2

Theorems:   The formula for the surface area of a cube is:  S = 6e      (S is Surface Area;  e is the length of an edge of the cube) ​​​​​​​​​

 

 

                   The formula for the surface area of a rectangular solid is: S = 2 lw + 2 lh + 2 wh  (S is Surface Area;  l, w, and h are the length, width, height)             

                       

 

                           A formula for the surface area of a right prism is: S = 2B + pH    (S is Surface Area; B and p are area and perimeter of a base; H is height)