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Determine the total area of the THREE lateral faces of this triangular prism.
A. 48 square inches
B. 96 square inches
C. 188 square inches
D. 448 square inches
To find the total area of the three lateral faces of a triangular prism, we need to calculate the area of each face and then add them together.
The formula for finding the area of a triangle is A = 1/2 * base * height. Since the triangular prism has three lateral faces, we need to find the area of each triangle and then add them together.
Given that the base of the triangle is 8 inches and the height of the triangle is 12 inches, the area of one triangle is:
A = 1/2 * 8 * 12 = 48 square inches
Since there are three lateral faces, the total area of the three lateral faces is:
Total area = 3 * 48 = 144 square inches
Therefore, the correct answer is not among the choices given. The total area of the three lateral faces of the triangular prism is 144 square inches.
thats not one of the optional questions
I apologize for the mistake. Let's try calculating the total area of the three lateral faces of the triangular prism again:
Given that the base of the triangular prism is a triangle with base 8 inches and height 12 inches, the area of one lateral face is:
Area = 1/2 * base * height = 1/2 * 8 * 12 = 48 square inches
Since there are three lateral faces, the total area of the three lateral faces is:
Total area = 3 * 48 = 144 square inches
Therefore, the closest option provided is not correct as well. The correct total area of the three lateral faces of the triangular prism is 144 square inches.