what is the surface area of the triangular prism? round the answer to the nearest tenth

length is 8cm width is 6cm and Hight is 6.9cm

1 answer

To find the surface area of a triangular prism, you first need to find the area of the two triangles and the three rectangles that make up the prism.

The area of a triangle is 1/2 base x height.
The area of a rectangle is length x width.

First, find the area of the two triangles:
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 8 x 6.9
Area of triangle = 27.6 cm^2

Next, find the area of the three rectangles:
1. Area of rectangle = length x width
Area of rectangle 1 = 8 x 6.9 = 55.2 cm^2
Area of rectangle 2 = 8 x 6 = 48 cm^2
Area of rectangle 3 = 6.9 x 6 = 41.4 cm^2

Now, add up the areas of the triangles and rectangles:
Total surface area = 27.6 cm^2 + 55.2 cm^2 + 48 cm^2 + 41.4 cm^2
Total surface area = 172.2 cm^2

Rounded to the nearest tenth, the surface area of the triangular prism is 172.2 cm^2.