Answer:
The surface area is:
[tex]120 {cm}^{2} [/tex]
Step-by-step explanation:
There are two triangles, and three rectangles in this prism. The area of a triangle is:
[tex] \frac{1}{2} base \times height[/tex]
and the area of a rectangle is:
[tex]length \times width[/tex]
Therefore the area of the triangle is:
[tex] \frac{1}{2} (5) \times 12 \\ 2.5 \times 12 = 30 \\ 30 \times 2 = 60[/tex]
This value is multiplied by 2 because there are 2 triangles.
The area of the slanted rectangle is (13 x 2 = 26), the area of the standing rectangle is (12 x 2 = 24), and the area of the base rectangle is (5 x 2 = 10).
Therefore the surface area of the triangular prism is; 60 + 26 + 24 + 10 =
[tex]120 {cm}^{2} [/tex]
