Question

What is the surface area of the triangular prism whose net is shown? 9cm 15cm 12cm 4cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a triangular prism, we need to calculate the area of each face separately and then add them all together.

The net shown includes 3 rectangles and 2 congruent triangles.

1. The area of the rectangle on the left side is (9cm * 15cm) = 135 square cm.
2. The area of the rectangle on the right side is (9cm * 15cm) = 135 square cm.
3. The area of the rectangle on the bottom is (15cm * 12cm) = 180 square cm.
4. The area of the triangle is 1/2 * base * height = 1/2 * 9cm * 12cm = 54 square cm (for each triangle).
5. Since the net represents the entire surface of the prism, we add all the areas together:

135 + 135 + 180 + 54 + 54 = 558 square cm

Therefore, the surface area of the triangular prism is 558 square cm.