Surface Area of Triangular Prism

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In geometry, there are different kinds of prisms like a square prism, rectangular prism etc. Triangular prism is also one type of a prism whose base is a triangle. Triangular prisms are 3-dimensional solid geometric figures and they consist of 2 congruent triangles situated opposite to each other surrounded by 3 parallelograms which connect the two triangular bases. The total surface area of a triangular prism is calculated by finding the area of each surface and adding all the areas together.
 
Example 1: What is the area of the triangular prism, whose base of the triangle is 8m and the remaining two sides are 5m, 7m. The height of the triangle is 9m and the length of the prism is 12m.

Given: base of the triangle, b= 8m

Sides, x= 5m and y= 7m

Height of the triangle, h= 9m

Length of the prism, l= 12m

Surface area of the triangular prism, A = lx+ ly+lb+bh

A = (12*5+ 12*7+ 12*8+ 8*9) = 60+ 84+ 96+ 72= 312m2

Hence the Surface area of the triangular prism, A= 312m2
 
Example 2: What is the area of the triangular prism, whose base of the triangle is 5m and the remaining two sides are 6m, 7m. The height of the triangle is 8m and the length of the prism is 13m.

Given: base of the triangle, b= 5m

Sides, x= 6m and y= 7m

Height of the triangle, h= 8m

Length of the prism, l= 13m

Surface area of the triangular prism, A = lx+ ly+lb+bh

A = (13*6+ 13*7+ 13*5+ 5*8) = 78+ 91+ 65+ 40= 274m2

Hence the Surface area of the triangular prism, A= 274m2

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