Use the image to answer the question.
The image appears to be a rectangle with dimensions labeled in units. The measurements are 7 units by 7 units on one side and 25 units by 24 units by 100 units by 25 units on the other side. The image contains text, likely in the form of measurements or labels.
The net of a triangular prism is shown. What is the surface area of the triangular prism?
(1 point)
Responses
5,684 square units
5,684 square units
5,668 square units
5,668 square units
5,768 square units
5,768 square units
5,936 square units
To find the surface area of the triangular prism, we need to calculate the area of each face and then add them all up.
First we find the area of the two triangular bases:
Area = 0.5 * base * height
Area = 0.5 * 25 * 100 = 1250 square units
Next, we find the area of the three rectangular faces:
1. 7 * 25 = 175 square units
2. 7 * 25 = 175 square units
3. 25 * 100 = 2500 square units
Total area of the rectangular faces = 175 + 175 + 2500 = 2850 square units
Therefore, the total surface area of the triangular prism is:
1250 (triangular bases) + 2850 (rectangular faces) = 4100 square units
Therefore, the correct answer is not listed in the options provided.