Question

Apply the technique of using nets to find the surface area of this triangular prism. Your answer should have two decimal places.

Answer 1

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.