Question

What is the surface area of the triangular prism? Round the answer to the nearest tenth

Answer 1

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

Given that the length of the base of the triangular prism is 6 cm, the height of the triangular prism is 8 cm, and the side of the triangle is 4 cm.

1. Calculate the area of the two triangular bases:
Area = (base x height) / 2
Area = (6 x 8) / 2
Area = 24 cm²

2. Calculate the area of the three rectangular sides:
Area = (perimeter of the base x height) x 2
Area = ((6 + 4 + 4) x 8) x 2
Area = (14 x 8) x 2
Area = 112 cm²

3. Add the areas of all faces:
Total surface area = 24 cm² + 112 cm²
Total surface area = 136 cm²

Therefore, the surface area of the triangular prism is 136 cm².