Question

What is the surface area of a triangular prism with a base of 4cm a side base of 11cm a height of 3cm and a face of 5cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a triangular prism, we need to find the areas of the two triangular faces and the three rectangular faces, and then add them together.

First, let's find the area of the triangular faces:
Area of a triangle = 1/2 * base * height
Area of the triangular faces = 1/2 * 4 cm * 3 cm + 1/2 * 11 cm * 3 cm
Area of the triangular faces = 6 cm² + 16.5 cm²
Area of the triangular faces = 22.5 cm²

Now, let's find the area of the three rectangular faces:
Area of a rectangle = length * width
Area of the rectangular faces = 4 cm * 5 cm + 4 cm * 5 cm + 11 cm * 5 cm
Area of the rectangular faces = 20 cm² + 20 cm² + 55 cm²
Area of the rectangular faces = 95 cm²

Finally, let's add the areas of the triangular faces and the rectangular faces to get the total surface area of the triangular prism:
Total surface area = Area of the triangular faces + Area of the rectangular faces
Total surface area = 22.5 cm² + 95 cm²
Total surface area = 117.5 cm²

Therefore, the surface area of the triangular prism is 117.5 cm².