Find the surface area of this triangular prism.
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2 points
Captionless Image
84 square centimeters
480 square centimeters
20 square centimeters
108 square centimeters
To find the surface area of a triangular prism, you need to calculate the area of each face and then add them together.
The formula for the surface area of a triangular prism is:
Area = 2(Base area) + (Perimeter of base x Height)
Given that the base is a triangle, we first need to calculate the area of the triangle:
Area of a triangle = (base x height) / 2
Area of the triangle = (6 x 8) / 2 = 24 square cm
Now, we calculate the perimeter of the base:
Perimeter of the base = 6 + 8 + 10 = 24
Finally, we can calculate the total surface area of the prism:
Area = 2(24) + (24 x 20) = 48 + 480 = 528 square cm
Therefore, the surface area of the triangular prism is 528 square centimeters.
Therefore, none of the given options, 84 square centimeters, 480 square centimeters, 20 square centimeters, and 108 square centimeters, match the correct surface area.