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Volume of a Pyramid Calculator
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Volume of a pyramid calculator is used to calculate the volume of a triangular and square pyramid.
Volume of a Square Pyramid
In square based pyramid the base is made up of square, it has four triangular faces. The height is taken from the tip of the pyramid to the center of the square base.
Volume of Triangular Pyramid

In triangular pyramid the base is made up of triangle. In triangular pyramid, there are four faces, six edges and four vertices.
 

Step by Step Calculation

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Step 1 :  

Formula's


 


Volume of a triangular pyramid = $\frac{abh}{6}$


 


Where,


 


a = apothem length


 


b = side length


 


h = height


 


Volume of a square pyramid = $\frac{b^{2} * h}{3}$


 


base (b) = length of the side of the square.



height (h) = height of the pyramid.



Step 2 :  

Put the values in the formulas and calculate it further.



Example Problems

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  1. The pyramid has its apothem length 8 cm , base side 4cm and height 12cm. find the volume of triangular pyramid.


    Step 1 :  

    Given: Apothem length 8 cm , base side 4 cm and height 12 cm


     


    Formula:


     


    Volume of a triangular pyramid = $\frac{abh}{6}$


     


    Where,


     


    a = apothem length


     


    b = side length


     


    h = height



    Step 2 :  

    Put the values in the formula and calculate it further


     


    = $\frac{8*4*12}{6}$


     


    = $\frac{384}{6}$


     


    = 64 cm3



    Answer  :  

    Volume of a triangular pyramid = 64 cm3



  2. Calculate the volume of a square pyramid, if the side of a base is 4 cm and height of a pyramid is 7 cm.


    Step 1 :  

    Given: base is 4 cm and height is 7 cm.


     


    Formula


     


    Volume of a square pyramid = $\frac{b^{2} * h}{3}$


     


    base (b) = length of the side of the square.



    height (h) = height of the pyramid.



    Step 2 :  

    Put the values in the formula and calculate it further


     


    = $\frac{4^{2} * 7}{3}$


     


    = $\frac{16 * 7}{3}$


     


    = $\frac{112}{3}$


     


    = 37.33 cm3



    Answer  :  

    Volume of a square pyramid = 37.33 cm3



More Volume of a Pyramid Calculator
Volume of a Square Pyramid Calculator
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