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
260 square centimeters
260 square centimeters
320 square centimeters
320 square centimeters
280 square centimeters
280 square centimeters
180 square centimeters
180 square centimeters
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To find the surface area of a triangular prism, you need to calculate the areas of all the faces and then add them up.
The front triangular face has an area of (1/2) * base * height = (1/2) * 10 * 8 = 40 square centimeters.
There are two rectangular faces, each with an area of length * width = 10 * 6 = 60 square centimeters.
Adding up the areas of all three faces gives a total surface area of 40 + 60 + 60 = 160 square centimeters.
Therefore, the correct answer is that the surface area of the triangular prism is 160 square centimeters.