Surface area of a triangular prism formula

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Surface area of a triangular prism is the sum of the areas of all the surfaces of the prism. A triangular prism is a prism consisting of triangular bases located on the opposite sides of the prism and these bases are connected by 3 parallelograms on each side. Surface area of a triangular prism is the sum of the areas of the triangular bases and the parallelograms. Surface area of the triangular prism, A = lx + ly + lb + bh.
 
Example 1: Calculate the area of the triangular prism, whose base of the triangle is 4m and the remaining two sides are 2m, 5m. The height of the triangle is 3m and the length of the prism is 6m.

Given: base of the triangle, b= 4m
Sides, x= 2m and y= 5m
Height of the triangle, h= 3m
Length of the prism, l= 6m
Surface area of the triangular prism, A = lx+ ly+lb+bh
A = (6*2+ 6*5+ 6*4+ 4*3) = 12+ 30+ 24+ 12= 78m2
Hence the Surface area of the triangular prism, A= 78m2
 

Example 2: Calculate the area of the triangular prism, whose base of the triangle is 4m and the remaining two sides are 6m, 7m. The height of the triangle is 4m and the length of the prism is 8m

Given: base of the triangle, b = 4m
Sides, x= 6m and y= 7m
Height of the triangle, h= 4m
Length of the prism, l= 8m
Surface area of the triangular prism, A = lx+ ly+lb+bh
A = (8*6+ 8*7+ 8*4+ 4*4) = 48+ 56+ 32+ 16= 152m2
Hence the Surface area of the triangular prism, A= 152m2

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