Question

The net of a triangular prism is shown. What is the surface area of the triangular prism? (1 point) 41 mm, 40 mm, 10 mm, 9 mm.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a triangular prism, we need to calculate the area of all its faces and add them together.

The net of a triangular prism consists of three rectangles (the sides of the prism) and two triangles (the bases of the prism).

The two triangles have a base of 10 mm and a height of 9 mm. Therefore, the area of one triangle is (1/2) * base * height = (1/2) * 10 * 9 = 45 mm². Since there are two triangles, the total area of the triangles is 2 * 45 = 90 mm².

Each rectangle has a length of 10 mm and a width of 9 mm (since the width of the triangle is the same as the height of the triangle). Therefore, the area of each rectangle is length * width = 10 * 9 = 90 mm². Since there are three rectangles, the total area of the rectangles is 3 * 90 = 270 mm².

Adding the areas of the triangles and rectangles together, we get 90 + 270 = 360 mm².

Therefore, the surface area of the triangular prism is 360 mm².