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Geometry worksheet in which students develop and apply formulas for surface areas of cubes and rectangular solids.
Geometry worksheet in which students develop and apply formulas for surface areas of rectangular solids and right prisms.

Activity 3.8​

Assignment 3.9

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​Assignment 8.18

​Surface Area of Prisms

 
Objective
Develop and apply a formula for finding 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)

 

 

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