Find the surface area of this triangular prism.

Question

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2 points
Captionless Image
A). 84 square centimeters
B). 480 square centimeters
C). 20 square centimeters
D). 108 square centimeters

Answer 1

To find the surface area of a triangular prism, you need to calculate the areas of all the surfaces and then sum them up.

First, find the area of the two triangular bases:
Area = 1/2 * base * height
Area = 1/2 * 8 cm * 6 cm = 24 cm²

Now, find the three rectangular sides:
1. The front and back side: 8 cm * 6 cm = 48 cm² (two sides with the same area)
2. The two side sides: 5 cm * 8 cm = 40 cm² (two sides with the same area)
3. The top and bottom: 6 cm * 5 cm = 30 cm² (two sides with the same area)

Now, add up all the areas:
24 cm² + 48 cm² + 48 cm² + 40 cm² + 40 cm² + 30 cm² = 230 cm²

Therefore, the correct answer is not within the given options. The surface area of the triangular prism is 230 square centimeters.