## Formula For Surface Area Of A __Right__ Triangular Prism

To find the Surface Area of a right triangular prism, the formula is

where a, b and c are the sides of the triangle and h is the length of the prism. {c is the hypotenuse of the triangle}

The two right triangular sides have the total surface area of 2 (1/2) ab = ab. The sides are each: ah, bh and ch

## Formula For Surface Area Of Any __General__ Triangular Prism

The formula for surface area of any general triangular prism, is

where

The area of one triangular sides is as per Hero’s Formula.

The sides are each: ah, bh and ch

Example-1:

Right Triangular Prism of Length 10 cm

Sides are {a = 5; b = 12; c =13}

Surface Area (A) = (5)(10) + (12)(10) + (13)(10)

= 50 + 120 + 130 = 300 cm²

Example-2:

Any General Triangular Prism of Length 10 cm

Sides are {a = 6; b = 8; c = 10}

As per Hero’s Formula,

s = (a + b + c)/2 = (6 + 8 + 10)/2 = 12

So, the Area of one of the triangular face

=

So, Surface Area (A) = 2(24) + (6)(10) + (8)(10) + (10)(10)

= 48 + 60 + 80 + 100 = 50 + 120 + 130 = 288 cm²