To find the surface area of a triangular prism, we need to find the areas of each of the two bases and the three rectangular faces.
1. Area of the triangular base:
The area of a triangle is 1/2 * base * height. In this case, the base of the triangle is 4 cm and the height of the triangle is 3 cm.
Area = 1/2 * 4 * 3 = 6 cm^2.
Since there are two triangular bases, the total area of both bases is:
6 cm^2 * 2 = 12 cm^2.
2. Area of the three rectangular faces:
The two rectangular faces have dimensions of 4 cm by 11 cm and the third face has dimensions of 5 cm by 11 cm.
The area of a rectangle is length * width. For the two rectangular faces with dimensions of 4 cm by 11 cm:
Area = 4 * 11 = 44 cm^2.
And for the third rectangular face with dimensions of 5 cm by 11 cm:
Area = 5 * 11 = 55 cm^2.
Adding the areas of the three rectangular faces:
44 cm^2 + 44 cm^2 + 55 cm^2 = 143 cm^2.
Now, add the area of both bases and the three rectangular faces to get the total surface area of the triangular prism:
12 cm^2 + 143 cm^2 = 155 cm^2.
Therefore, the surface area of the triangular prism is 155 cm^2.
If a triangular prism has the side of b,w=4 cm, l=11cm, h=3cm, w=5 cm what is the surface area of the triangular prism?
1 answer
1 answer