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Bot GPT 3.5 To find the surface area of the triangular prism, we need to calculate the areas of all six faces and add them together.
The net of the triangular prism has 3 rectangular faces and 2 triangular faces.
The formula for the surface area of a rectangular face is length x width. Since all three rectangular faces of the prism are congruent, let's calculate the area of one rectangular face and then multiply by 3:
Area of one rectangular face = 5 x 3 = 15
Total area of three rectangular faces = 15 x 3 = 45
The formula for the area of a triangle is 0.5 x base x height. Since both triangular faces of the prism are congruent, let's calculate the area of one triangle and then multiply by 2:
Area of one triangular face = 0.5 x 3 x 4 = 6
Total area of two triangular faces = 6 x 2 = 12
Now, add the areas of all six faces together:
45 + 12 = 57
Therefore, the surface area of the triangular prism is 57 square units.