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Surface Area of a Triangular Prism Calculator
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Surface Area of a Triangular prism Calculator is used find the surface area. The parameters to find the surface area perimeter, the sides, height of the prism and the base area.

Surface Area of a Triangular Prism
 

Step by Step Calculation

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Step 1 :  

Formula:


 


Surface Area = $\frac{1}{2}$(b * h)2 + (S1 + S2 + S3)H


 


Surface Area = (b * h) + (S1 + S2 + S3)H


 


Where


b = base


h = height


H = Prism height


S1, S2, S3 = Sides of triangle



Step 2 :  

Put the values in the formula and calculate it further.



Example Problems

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  1. Find the surface area of triangular prism whose sides are equilateral with 4cm, the prism height is 6 cm and base height is 3.4 cm.


    Step 1 :  

    Given: The surface area of triangular prism whose sides are equilateral with 4 cm.


     


    S1, S2, S3 = 4 cm


     


    b = 4 cm


     


    h = 3.4 cm


     


    H = 6 cm


     


    Formula:


     


    Surface Area = $\frac{1}{2}$(b * h)2 + (S1 + S2 + S3)H


     


    Surface Area = (b * h) + (S1 + S2 + S3)H



    Step 2 :  

    Put the values in the formula


     


    Surface Area = (4 * 3.4) + (4 + 4 + 4)*6


     


    Surface Area = 85.6 cm2



    Answer  :  

    Surface Area = 85.6 cm2



  2. Find the surface area of triangular prism whose sides s1 = 5 m, s2 = 4 m and s3 = 3 m. The prism height is 7 cm and base height is 4.5 cm.


    Step 1 :  

    Given: The surface area of triangular prism whose sides are equilateral with 4 cm.


     


    S1 = 5 m


     


    S2 = 4 m


     


    S3 = 3 m


     


    b = 4 m


     


    h = 7 m


     


    H = 4.5 m


     


    Formula:


     


    Surface Area = $\frac{1}{2}$(b * h)2 + (S1 + S2 + S3)H


     


    Surface Area = (b * h) + (S1 + S2 + S3)H



    Step 2 :  

    Put the values in the formula


     


    Surface Area = (4 * 4.5) + (5 + 4 + 3)*7


     


    Surface Area = 102 m2



    Answer  :  

    Surface Area = 102 m2



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