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
822 square meters
822 square meters
779 square meters
779 square meters
790 square meters
790 square meters
768 square meters
768 square meters
To find the surface area of the net of the triangular prism, you first need to find the area of the front triangular face and the area of the rectangular face.
The area of the front triangular face can be calculated using the formula: 0.5 * base * height.
So, 0.5 * 16m * 15m = 120 square meters.
The area of the rectangular face can be calculated by multiplying the width by the height of the rectangle:
11m * 15m = 165 square meters.
Now, add the two areas together to find the total surface area:
120 square meters (front triangle) + 165 square meters (rectangle) = 285 square meters.
Since there are two identical triangular faces and two identical rectangular faces, you need to multiply the total surface area by 2:
285 square meters * 2 = 570 square meters.
Therefore, the surface area of the net of the triangular prism is 570 square meters.
None of the options provided match this result, so the correct answer is not listed.