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Surface Area of a Pyramid Calculator
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Surface Area of a Pyramid Calculator is used to find the surface area of the pyramid.

Triangular pyramid reffered as regular tetrahedron. It has 6 edges and 4 vertices.

Surface Area of Triangular Pyramid
The surface area of the rectangular square pyramid is the sum of base and slant height of the pyramid.

Surface Area of a Pyramid
 

Step by Step Calculation

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Step 1 :  

Formula:


 


Surface area of a square pyramid (S) = b2 + 4($\frac{bs}{2}$)


 


It is further simplified


 


Surface area of pyramid (S) = b2 + 2bs


 


Where,


 


b = base


 


s = slant height


 


Surface area of a triangular pyramid (S) = $\frac{1}{2}$ * a * b + $\frac{3}{2}$ * b * l


 


Where,


 


a = apothem length


 


b = length of side


 


l = slant height



Step 2 :  

Put the values in the formula and calculate it further.



Example Problems

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  1. The base of the pyramid is 6 cm and its slant height is 9 cm. Find the surface area of the pyramid.


    Step 1 :  

    Given:   


                       base = 6 cm


              slant height = 9 cm


     


    Formula:


     


    Surface area of pyramid (S) = b2 + 2bs



    Step 2 :  

    Put the values in the formula and calculate it further.


     


    S = 62 + ( 2 * 6 * 9 )


     


    S = 144 cm2



    Answer  :  

    Surface Area of Square Pyramid = 144 cm2



  2. Find the surface area of triangular pyramid, whose apothem length 6 cm, length of side is 9 cm and slant height is 11 cm.


    Step 1 :  

    Given: a = 6 cm


     


    b = 9 cm


     


    l = 11 cm


     


    Formula:


     


    Surface area of triangular pyramid = $\frac{1}{2}$ * a * b + $\frac{3}{2}$ * b * l



    Step 2 :  

    Put the values in the formula and calculate it further.



    Surface area of triangular pyramid = $\frac{1}{2}$ * 6 * 9 + $\frac{3}{2}$ * 9 * 11


     


    = 175.5 cm2



    Answer  :  

    Surface Area of Triangular Pyramid = 175.5 cm2



More Surface Area of a Pyramid Calculator
Surface Area of a Square Pyramid Calculator
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