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