Question

Use the image to answer the question.

An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three horizontal rectangles joined one on top of another. All 4 sides of the middle rectangle are drawn with dashed lines. The length of all the rectangles is 8 meters. The width of all the rectangles is 3 meters. Two identical triangles adjoin the middle rectangle at the left and right, with the perpendicular height of the triangles measuring 2.6 meters.

What is the surface area of the triangular prism shown as a net? Round the answer to the nearest tenth.

(1 point)
m2
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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 of the five faces and then add them all together.

1. The top and bottom rectangles have dimensions 8m x 3m = 24m² each.
2. The two side rectangles have dimensions 8m x 2.6m = 20.8m² each.
3. The front and back triangles have dimensions 2.6m x 3m / 2 = 3.9m² each.

Adding all the areas together, we get:
24m² (top) + 24m² (bottom) + 20.8m² (side 1) + 20.8m² (side 2) + 3.9m² (front) + 3.9m² (back) = 97.4m²

Therefore, the surface area of the triangular prism shown as a net is approximately 97.4m².