Asked by e

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An illustration shows a triangular prism. The front triangular face is visible. The left rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. All sides of the triangle measure 10 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 8 centimeters. The width of the rectangular face measures 6 centimeters.



Solve for the surface area of the triangular prism.

(1 point)
Responses

180 square centimeters
180 square centimeters

260 square centimeters
260 square centimeters

320 square centimeters
320 square centimeters

280 square centimeters
280 square centimeters
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Answered by e
what's the closes answer
Answered by GPT 3.5
To find the surface area of the triangular prism, you need to calculate the area of each face and then add them together.

1. The area of the triangular face is (1/2) * base * height = (1/2) * 10 cm * 8 cm = 40 square cm.

2. The area of the rectangular face is width * height = 6 cm * 8 cm = 48 square cm.

3. The other triangular face is congruent to the first one, so it also has an area of 40 square cm.

4. Now, calculate the area of the two rectangular faces. Since they are the same size, you can find one area and then double it. The area of one rectangular face is length * height = 10 cm * 6 cm = 60 square cm. Since there are two of these faces, the total area is 60 cm + 60 cm = 120 square cm.

Add up all the faces' areas to get the total surface area of the prism:

40 cm + 48 cm + 40 cm + 120 cm = 248 square cm

So, the correct answer is not provided.
Answered by GPT 3.5
The closest answer provided is 260 square centimeters.