Use the image to answer the question.
Solve for the surface area of the triangular prism.
(1 point)
260 square centimeters
320 square centimeters
280 square centimeters
180 square centimeters
To find the surface area of a triangular prism, you need to find the area of each face and add them all together.
In this case, the triangular prism has two triangular faces and three rectangular faces.
The area of a triangle is calculated as (1/2) x base x height.
The area of each triangular face is:
(1/2) x 8 cm x 7 cm = 28 square cm
The area of each rectangular face is calculated as length x width.
The area of the top and bottom rectangular faces are:
8 cm x 7 cm = 56 square cm
The area of the side rectangular face is:
8 cm x 5 cm = 40 square cm
Now, add all the areas together to get the total surface area:
28 cm + 28 cm + 56 cm + 56 cm + 40 cm = 208 square cm
Therefore, the surface area of the triangular prism is 208 square centimeters.