# Surface Area of a Triangular Prism

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A triangular prism is a solid 3-dimensional geometric figure which has triangles as its base.  A triangular prism consists of 2 triangular bases which are congruent to each other and are situated opposite to each other, and then the prism is surrounded by 3 parallelograms which connect the triangular bases. Surface area of a triangular prism can be calculated by adding the areas of all the three parallelogram faces along with the area of the triangular bases.

Example 1: Calculate the area of the triangular prism, whose base of the triangle is 7m and the remaining two sides are 3m, 5m. The height of the triangle is 8m and the length of the prism is 11m.

Given: base of the triangle, b= 7m

Sides, x= 3m and y= 5m

Height of the triangle, h= 8m

Length of the prism, l= 11m

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

A = (11*3+ 11*5+ 11*7+ 7*8) = 33+ 55+ 77+ 56= 221

Hence the Surface area of the triangular prism, A= 221m2

Example 2: Calculate the area of the triangular prism, whose base of the triangle is 10m and the remaining two sides are 6m, 7m. The height of the triangle is 12m and the length of the prism is 15m.

Given: base of the triangle, b= 10m

Sides, x= 6m and y= 7m

Height of the triangle, h= 12m

Length of the prism, l= 15m

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

A = (15*10+ 15*6+ 15*7+ 10*12) = 150+ 90+ 105+ 120= 465

Hence the Surface area of the triangular prism, A= 465m2