You can divide this figure into a number of 2D shapes which you know how to find the area of.
The two triangular sides of the prism each have areas 12*5/2=30 square meters. The area of the rectangle formed by the smaller leg has area 5*15=75 square meters. The area of the rectangle formed by the larger leg has area 12*15=180 square meters. The area of the rectangle formed by the hypotenuse has area 13*15=195 square meters. Adding all of this together, you get:
30+30+75+180+195=510 square meters. Hope this helps!
The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base, as seen in the figure below:
A triangular prism is a stack of triangles, so the usualy triangle solving rules apply when calculating the area of the bases.
