The surface area of a triangular prism can be found by adding the areas of all its faces.
In this case, the front triangular face has an area of (1/2) * base * height = (1/2) * 10 * 8 = 40 square centimeters.
The two rectangular faces each have an area of length * width = 10 * 6 = 60 square centimeters. Since there are two rectangular faces, the total area for both is 60 * 2 = 120 square centimeters.
Adding all three areas together, the surface area of the triangular prism is 40 + 120 = 160 square centimeters.
Therefore, the closest option is 180 square centimeters.
Surface Area of Triangular Prisms Quick Check
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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
180 square centimeters
180 square centimeters
280 square centimeters
280 square centimeters
320 square centimeters
320 square centimeters
260 square centimeters
1 answer