To find the surface area of the net of the triangular prism, we first need to calculate the area of each individual face and then add them together.
- The front triangular face has an area of (1/2) x base x height = (1/2) x 16 x 15 = 120 square meters.
- The right rectangular face has an area of length x width = 17 x 11 = 187 square meters.
- Since the triangular prism has 2 triangular faces and 3 rectangular faces, the total surface area is 2 x triangular face area + 3 x rectangular face area = 2 x 120 + 3 x 187 = 240 + 561 = 801 square meters.
Therefore, the correct answer is not listed. The closest option is 790 square meters, but the correct answer should be 801 square meters.
Surface Area of Triangular Prisms Quick Check
4 of 54 of 5 Items
Question
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
779 square meters
822 square meters
822 square meters
768 square meters
768 square meters
790 square meters
1 answer