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.
280 square centimeters
320 square centimeters
180 square centimeters
260 square centimeters
To find the surface area of a triangular prism, you need to calculate the area of all three faces (two triangular faces and one rectangular face) and then add them up.
The area of the front triangular face is 1/2 * base * height = 1/2 * 10 * 8 = 40 square centimeters.
Since the triangular prism has two identical triangular faces, the total area of both triangular faces is 40 * 2 = 80 square centimeters.
The area of the rectangular face is length * width = 10 * 6 = 60 square centimeters.
Therefore, the total surface area of the triangular prism is 80 + 60 = 140 square centimeters.
So the correct answer is not provided. The options provided are incorrect.