Question

Use the image to answer the question.

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

280 square centimeters
280 square centimeters

180 square centimeters
180 square centimeters

320 square centimeters
320 square centimeters

260 square centimeters
260 square centimeters
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for the surface area of the triangular prism, we need to calculate the areas of all the faces and then add them up.

1. The front triangular face area = (1/2) * base * height
= (1/2) * 10 * 8
= 40 square centimeters

2. The back triangular face area = (1/2) * base * height
= 40 square centimeters

3. The left rectangular face area = length * width
= 10 * 6
= 60 square centimeters

4. The right rectangular face area = 60 square centimeters

5. The top rectangular face area = 60 square centimeters

6. The bottom rectangular face area = 60 square centimeters

Now, add up all the areas:
40 + 40 + 60 + 60 + 60 + 60 = 280 square centimeters

Therefore, the surface area of the triangular prism is 280 square centimeters.