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Geometry worksheet in which students develop and apply a formula for the surface areas of regular pyramids.
Geometry worksheet to help students apply formulas for the surface area of regular pyramids and to calculate surface area for regular pyramids with given heights using  the Pythagorean Theorem to calculate slant heights.

Activity 3.8

Assignment 3.9

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Assignment 8.20

Surface Area of Regular Pyramids

 
Objective
Develop and apply a formula for finding the surface area of regular pyramids.
 
 

About Geometry Worksheet Assignment 8.20:                   

 

Assignment 8.20 is an introduction to surface area of pyramids.

 

Prerequisite Skills:  Find areas of squares (Assignment 8.3).  Find areas of triangles (Assignment 8.6).  Find areas of regular polygons (Assignment 8.9).  Find perimeter of polygons (Assignment 3.2).  Use the Pythagorean Theorem to find slant heights of regular pyramids (Assignment 8.19).                                                                                                                                                            

    

                                                                                                                               1

 Theorem:   A formula for the surface area of a regular pyramid is: S = B +   2  p l 

 

 

                          (S is Surface Area; B and p are the area and perimeter of the base; l is the slant height)

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