Determine the surface area of the triangular prism.
3
4
5
11
(1 point)
Responses
110 square centimeters
110 square centimeters
132 square centimeters
132 square centimeters
144 square centimeters
144 square centimeters
330 square centimeters
The formula to calculate the surface area of a triangular prism is given by:
Surface Area = 2 * base area of the triangles + lateral surface area of the prism
First, we calculate the base area of the triangles:
Base Area = (1/2) * base * height
Base Area = (1/2) * 4 * 3
Base Area = 6 square units
Since there are 2 triangles, the base area of the triangles = 2 * 6 = 12 square units
Next, we calculate the lateral surface area of the prism:
Lateral Surface Area = perimeter of base * height
Lateral Surface Area = 12 + 5 + 4 * 11
Lateral Surface Area = 33 square units
Now, we can calculate the total surface area:
Surface Area = 2 * 12 + 33
Surface Area = 24 + 33
Surface Area = 57 square units
Therefore, the correct response is 132 square centimeters.