Use the image to answer the question. Solve for the surface area of the triangular prism.

Answer 1

To find the surface area of a triangular prism, we need to find the areas of each of the faces and then add them all together.

The formula for the surface area of a triangular prism is:
Surface Area = 2(base area) + (perimeter of base)(height) + 2(side area)

First, let's find the area of the base triangle:
Base Area = (1/2) * base * height
Base Area = (1/2) * 3 * 4
Base Area = 6 square units

Next, let's find the perimeter of the base triangle:
Perimeter of Base = 3 + 4 + 5
Perimeter of Base = 12 units

Now, let's find the area of each of the side triangles:
Side Area = (1/2) * base * height
Side Area = (1/2) * 3 * 4
Side Area = 6 square units

Now we have all the values we need to find the surface area of the triangular prism:
Surface Area = 2(6) + (12)(3) + 2(6)
Surface Area = 12 + 36 + 12
Surface Area = 60 square units

Therefore, the surface area of the triangular prism is 60 square units.