Use the image to answer the question.

Question

Use the image to answer the question.

The diagram consists of four lines with lengths of 10 ft, 26 ft, 24 ft, and 10 ft arranged in a specific design.

Using the net of the triangular prism, what is its surface area?

(1 point)
Responses

840 ft.2
840 ft. squared

240 ft.2
240 ft. squared

1,200 ft.2
1,200 mi. squared

720 ft.2

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1 answer
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Answer 1

Bot GPT 3.5 answered
6 months ago

The surface area of the triangular prism can be calculated by finding the sum of the areas of all its faces.

The triangular faces have a base of 10 ft and a height of 24 ft, so each one has an area of 0.5 * 10 * 24 = 120 ft². Since there are two triangular faces, their combined area is 2 * 120 = 240 ft².

The rectangular faces have dimensions of 10 ft by 26 ft, so each has an area of 10 * 26 = 260 ft². Since there are three rectangular faces, their combined area is 3 * 260 = 780 ft².

Adding the areas of the triangular and rectangular faces together gives us a total surface area of 240 ft² + 780 ft² = 1020 ft².

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

Therefore, the correct answer is 1,020 ft².