The surface area of a triangular prism can be calculated by adding the areas of all its faces.
The triangular face has an area of (1/2) * base * height, which is (1/2) * 10 cm * 8 cm = 40 square cm.
Since there are two triangular faces, the total area of the triangular faces is 2 * 40 = 80 square cm.
The rectangular face has an area of length * width, which is 10 cm * 6 cm = 60 square cm.
Since there are two rectangular faces, the total area of the rectangular faces is 2 * 60 = 120 square cm.
Therefore, the total surface area of the triangular prism is 80 + 120 = 200 square cm.
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.
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