To find the surface area of a triangular prism using nets, we first need to find the area of each individual face and then add them up.
The triangular prism has 2 triangular faces and 3 rectangular faces.
Let's first find the area of the triangular faces. The base of the triangle is 6 cm, and the height is 8 cm. The formula for the area of a triangle is 1/2 * base * height.
Area of one triangular face = 1/2 * 6 cm * 8 cm = 24 square cm
Since there are 2 triangular faces, the total area of both triangular faces = 2 * 24 square cm = 48 square cm
Now, let's find the area of the rectangular faces. The length of the rectangle is 6 cm, and the width is 8 cm.
Area of one rectangular face = length * width = 6 cm * 8 cm = 48 square cm
Since there are 3 rectangular faces, the total area of all three rectangular faces = 3 * 48 square cm = 144 square cm
Now, add the areas of both triangular and rectangular faces to find the total surface area:
Total surface area = 48 square cm (triangular faces) + 144 square cm (rectangular faces) = 192 square cm
Therefore, the surface area of the triangular prism is 192 square cm.
Apply the technique of using nets to find the surface area of this triangular prism. Your answer should have two decimal places.
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