Pyramid Formulas 
The following table shows the formulas for calculating the properties of a pyramid. 

n 



a 






For a square pyramid, the radius to a side, is the half length of the side 

rs 






Regardless of the number of corners of the pyramid, the radius to a corner can be calculated with the following formula. 

rv 
rv = √(a/2)² + rs² 





The perimeter of the base of the pyramid is the sum of the lengths of all sides. The example below only applies to square bases. 

P 
4·a 





The calculation of the base area of the pyramid depends on its shape. The example below is for a square base only *) 

A 
a² *) 





The height of the pyramid can be calculated from the volume and the base area, or from the slant height and the radius to a side of the base. 

h 
h = (3·V) / A 
h = √m²  rs² 




Calculate the slant height of a pyramid from pyramid height and radius to the side of the base. 

m 
m = √h² + rs² 





Calculation of the edge length of a pyramid from the slant height and the side length 

k 
k = √m² + (a² / 4) 





The of a slope can be calculated from the slant height and the side length of the base. 

M1 
M1 = (m · a) / 2 





The lateral surface of the pyramid can be calculated from the slant height of the pyramid and the side length of the base. The n in the following formula represents the number of pages. 

M 
M = (m · P) / 2 
M = (m · a · n ) / 2 




Calculation of the volume of a pyramid from the base and the height 

V 
V = (A · h) / 3 





Example with RedCrab Calculator 
 The calculation uses the class Pyramid



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