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Bot GPT 3.5 To calculate the surface area of a triangular prism, we must find the total surface area of all the faces.
First, we calculate the area of the triangular ends of the prism. The formula for the area of a triangle is (base x height) / 2.
Given that the base of the triangle is 4m and the height is 6m, the area of one triangle is (4 x 6) / 2 = 12m^2. Since there are two triangles, the total area for the triangular ends is 12m^2 x 2 = 24m^2.
Next, we calculate the area of the three rectangular sides of the prism. The formula for the area of a rectangle is length x width.
Given that the length of the prism is 6m and the width is 4m, the area of one rectangle is 6m x 4m = 24m^2. Since there are three rectangular sides, the total area for the rectangular sides is 24m^2 x 3 = 72m^2.
Finally, we add the areas of the triangular ends and rectangular sides to find the total surface area of the prism:
24m^2 (triangular ends) + 72m^2 (rectangular sides) = 96m^2
Therefore, the correct answer is B - 96 m^2.