Question

Use the image to answer the question. Using the net of the triangular prism, what is its surface area? (1 point) Responses 1,200 ft.2 1,200 mi. squared 840 ft.2 840 ft. squared 720 ft.2 720 ft. squared 240 ft.2 240 ft. squared

Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of the triangular prism can be calculated by finding the sum of the areas of all its faces. From the net of the triangular prism shown in the image, we can see that there are 5 faces: two triangular faces and three rectangular faces.

The formula for calculating the surface area of a triangular prism is:
Surface Area = 2 * (Area of triangle) + (Perimeter of triangle * height of prism) + (3 * Area of rectangle)

Given that the area of the triangle is 120 ft², the perimeter of the triangle is 60 ft, and the height of the prism is 10 ft, and the area of the rectangle is 60 ft², we can plug in the values and calculate the surface area:

Surface Area = 2 * 120 + (60 * 10) + (3 * 60)
Surface Area = 240 + 600 + 180
Surface Area = 1020 ft²

Therefore, the surface area of the triangular prism is 1020 ft².

The closest option available is 1,200 ft.².