Surface Area of Triangular Prisms Quick Check4 of 54 of 5 ItemsQuestionUse the image to answer the question.An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side and right side of the triangle measure 17 meters. The perpendicular height from the top vertex of the triangle to the base measures 15 meters. The base of the triangle measures 16 meters. The width of the rectangular face measures 11 meters.What is the surface area of the net of the triangular prism?(1 point)Responses790 square meters790 square meters779 square meters779 square meters768 square meters768 square meters822 square meters
To find the surface area of the net of the triangular prism, we first need to calculate the areas of each individual face and then add them together.
1. The front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 16 * 15 = 120 square meters
2. The back triangular face (which is identical to the front):
Area = 120 square meters
3. The rectangular face:
Area = length * width
Area = 17 * 11 = 187 square meters
Now, add the areas of all three faces together to find the total surface area of the net of the triangular prism:
120 + 120 + 187 = 427 square meters
Therefore, the correct answer is 427 square meters.