8 cm
8 cm
6.9:cm
8 cm
6 cm
What is the surface area of the triangular prism? Round the answer to the nearest tenth.
(1 point)
To calculate the surface area of a triangular prism, we need to find the area of each face and then sum them up.
The triangular faces have a base of 8 cm and a height of 6.9 cm. The formula for the area of a triangle is A = (1/2) x base x height.
Area of one triangular face = (1/2) x 8 cm x 6.9 cm = 27.6 cm^2
Since there are two triangular faces, the total area of the triangular faces is 2 x 27.6 = 55.2 cm^2
The rectangular faces have dimensions of 8 cm by 6 cm. The formula for the area of a rectangle is A = length x width.
Area of one rectangular face = 8 cm x 6 cm = 48 cm^2
Since there are three rectangular faces, the total area of the rectangular faces is 3 x 48 = 144 cm^2
Now, add the areas of the triangular and rectangular faces to find the total surface area of the triangular prism:
Total surface area = 55.2 cm^2 (triangle faces) + 144 cm^2 (rectangular faces) = 199.2 cm^2
Rounded to the nearest tenth, the surface area of the triangular prism is 199.2 cm^2.