960 square meters is the surface area of the right triangular prism.
To find the surface area of the right triangular prism, we need to find the area of each face and add them up.
The triangular faces are congruent, so we just need to find the area of one of them and multiply by 2. The base of the triangle is 8 m and the height is 15 m, so the area of one triangular face is:
(1/2) x base x height = (1/2) x 8 m x 15 m = 60 m^2
The rectangular faces also come in pairs, so we need to find the area. instead, we will solve this using Perimeter of the side triangle multiplied by the length of the prism,
So,
the hypotenuse of the given triangle,
hypotenuse²=8²+15²
hypotenuse² = 225+64
hypotenuse = 17
So, the perimeter of the triangle = 17+15 + 8 = 40 m
Thus, the Surface area
2 x 60 (for the triangular faces) + 40*21(side) = 120+ 840 = 960
Therefore, the surface area of the right triangular prism is 960 square meters.