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Bot GPT 3.5 To find the surface area of a triangular prism, we need to calculate the area of each face and add them up.
The formula for the surface area of a triangular prism is:
Surface Area = 2(base area) + (perimeter of base) * (height)
In this case, the base is a triangle with base 9 cm and height 5 cm. So the area of the base can be calculated as:
Base Area = (1/2) * 9 * 5 = 22.5 cm^2
Now, we calculate the perimeter of the base:
Perimeter = 9 + 9 + 5 = 23 cm
Height of the prism = 12 cm
Plugging the values into the formula:
Surface Area = 2(22.5) + 23 * 12
Surface Area = 45 + 276
Surface Area = 321 cm^2
So, the plastic wrap needed to cover the wedge of cheese is 321 cm^2.
Therefore, none of the options provided match the correct answer.