What is the surface area of the triangular prism?

10 cm on top right

8 cm on left side

9 cm on bottom right side

6 cm on the bottom

1 answer

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

1. Top triangle:
Area = (1/2) * base * height
Area = (1/2) * 10 cm * 8 cm
Area = 40 square cm

2. Bottom triangle:
Area = (1/2) * base * height
Area = (1/2) * 9 cm * 6 cm
Area = 27 square cm

3. Three rectangular sides:
Area = length * width
Side 1: 8 cm * 10 cm = 80 square cm
Side 2: 8 cm * 9 cm = 72 square cm
Side 3: 10 cm * 9 cm = 90 square cm

Total surface area = 40 + 27 + 80 + 72 + 90
Total surface area = 309 square cm

Therefore, the surface area of the triangular prism is 309 square cm.