What is the surface area of the triangular prism whose net is shown below from the answer to the nearest hundredth 3.4m , 4m,8M,4m, 4m
To find the surface area of the triangular prism, we need to find the areas of each of the five faces and then add them up.
1. Area of the top and bottom triangles:
- The base of the triangle is 4m, and the height is 3.4m.
- Area = 0.5 * base * height
- Area = 0.5 * 4 * 3.4 = 6.8 square meters for each triangle
2. Area of the three rectangular sides:
- The base of each rectangle is 4m, and the height is 4m.
- Area = base * height
- Area = 4 * 4 = 16 square meters for each rectangle
- Total area for all three rectangles = 16 * 3 = 48 square meters
3. Now, add up the areas of all the faces:
- Area = 2 * 6.8 (triangles) + 48 (rectangles)
- Area = 13.6 + 48 = 61.6 square meters
Therefore, the surface area of the triangular prism is 61.6 square meters.