Triangular Prism Surface Area

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A triangular prism is a 3-dimensional geometric shape and it belongs to the family of prisms. There are different kinds of prisms like the square prism, rectangular prism etc., and these prisms are all 3-dimensional structures and consist of bases of different shapes. A triangular prism is a prism which has a triangle at its base and hence it consists of two congruent triangles as its bases. The triangular prism is surrounded by 3 parallelograms and the surface area can be calculated by adding the areas of all the surfaces.
 
Example 1: Calculate 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 9m and the length of the prism is 12m.

Given: base of the triangle, b= 5m

Sides, x= 6m 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*6+ 12*7+ 12*5+ 5*9) = 72+ 84+ 60+ 45= 261m2

Hence the Surface area of the triangular prism, A= 261m2
 
 Example 2: Calculate the area of the triangular prism, whose base of the triangle is 8m and the remaining two sides are 9m and 10m. The height of the triangle is 6m and the length of the prism is 13m.

Given: base of the triangle, b= 8m

Sides, x= 9m and y= 10m

Height of the triangle, h= 6m

Length of the prism, l= 13m

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

A = (13*8+ 13*9+ 13*10+ 8*6) = 104+ 117+ 130+ 48= 399

Hence the Surface area of the triangular prism, A= 399m2

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