To find the surface area of the net of the triangular prism, we need to calculate the area of each face and then add them up.
1. Area of the front triangular face:
Area = 0.5 * base * height
Area = 0.5 * 16 * 15
Area = 120 square meters
2. Area of the right rectangular face:
Area = length * width
Area = 17 * 11
Area = 187 square meters
3. Area of the left rectangular face (same as the right rectangular face):
Area = 187 square meters
4. Area of the top rectangular face:
Area = base * width
Area = 16 * 11
Area = 176 square meters
5. Area of the bottom rectangular face (same as the top rectangular face):
Area = 176 square meters
6. Area of the back triangular face (same as the front triangular face):
Area = 120 square meters
Adding up all the areas:
120 + 187 + 187 + 176 + 176 + 120 = 966 square meters
Therefore, the surface area of the net of the triangular prism is 966 square meters. None of the provided options match exactly, but the closest option is 968 square meters.
Use 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)
Responses
779 square meters
790 square meters
768 square meters
822 square meters
1 answer