Let's draw a net of the prism to calculate the area of each face.
The prism is made of two identical triangular faces and three identical rectangular faces. We can calculate the surface area SA by adding up their areas. Let T be the area of one triangle and A the area of one rectangle.
SA=2T+3A
Let's start by calculating the area of each triangular face. To do it, we will use the formula for area of a triangle. In this case, the base b is 8 and the height h is 7.
To calculate the are of the rectangular faces, we will use the formula for the area of a rectangle. In this case, the base b is 8 and the height is 16.
We found that the area of the triangular faces T is 28 and that the area of the rectangular faces A is 128. Let's substitute these values in the expression for the surface area of our prism.
