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
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.