Question

Use the image to answer the question.

Long Description (if needed) The net appears as three horizontal rectangles joined one on top of another. The sides of the middle rectangle are drawn with dashed lines. The width of the rectangles is 100 units. The height of the middle rectangle is 24 units. The middle rectangle has a right triangle adjoining its left side. The length of the hypotenuse of the triangle is 25 units and the length of its horizontal side at the top of the triangle is 7 units. An unmarked triangle the same size and shape as the other triangle adjoins the right side of the middle rectangle. The height of the top triangle is 7 units.

The net of a triangular prism is shown. What is the surface area of the triangular prism?

(1 point)
Responses

5,768 square units
5,768 square units

5,684 square units
5,684 square units

5,936 square units
5,936 square units

5,668 square units
5,668 square units
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the triangular prism, we need to calculate the area of each face and add them together.

1. The area of the two triangular faces is 2*(1/2)*base*height.
- Base of the triangle is 25 units and height is 7 units.
- So, the area of the two triangular faces is 2*(1/2)*25*7 = 175 square units.

2. The area of the three rectangular faces is 2*width*height + width*height.
- The width is 100 units and the height of the middle rectangle is 24 units.
- So, the total area of the three rectangular faces is 2*100*24 + 100*24 = 4800 square units.

Adding the area of the triangular faces and the area of the rectangular faces, we get:
175 + 4800 = 4975 square units.

Therefore, the surface area of the triangular prism is 4975 square units.

Answer 2

nope

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error. Let's recalculate the surface area of the triangular prism based on the net provided in the image.

1. Surface area of the two triangular bases:
- Area = 2 * (1/2) * base * height
- Base = 25 units, Height = 7 units
- Area = 2 * (1/2) * 25 * 7 = 175 square units

2. Surface area of the three rectangular faces:
- Area = 2 * width * height (for the top and bottom rectangles) + width * height (for the middle rectangle)
- Width = 100 units, Height = 24 units
- Area = 2 * 100 * 24 + 100 * 24 = 4800 square units

Therefore, adding the surface areas of the two triangular bases and the three rectangular faces:

175 + 4800 = 4975 square units

Therefore, the correct surface area of the triangular prism is 4975 square units. Thank you for your patience.