Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.
What is the surface area of the triangular prism?
(1 point)
square centimeters
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To find the surface area of a triangular prism, we need to calculate the areas of each face and then add them up.
1. Front triangular face:
Area = 0.5 * base * height
Area = 0.5 * 5 * 11
Area = 27.5 square centimeters
2. Back triangular face (same as front):
Area = 27.5 square centimeters
3. Rectangular faces (two of them):
Area = length * width
Area = 11 * 5
Area = 55 square centimeters (for each face, so total for both is 110 square centimeters)
Now, add up the areas of all the faces:
27.5 (front) + 27.5 (back) + 110 (rectangular faces)
= 165 square centimeters
Therefore, the surface area of the triangular prism is 165 square centimeters.