To calculate the surface area of the triangular prism, we need to find the area of each face and then add them together.
1. Area of the triangular faces:
The base of the prism is a triangle with base and height of 9 cm and 17 cm, so its area is:
Area = 0.5 * base * height
Area = 0.5 * 9 cm * 17 cm
Area = 76.5 cm^2
There are two triangular faces with the same area, so the total area of the triangular faces is:
Total triangular face area = 2 * 76.5 cm^2
Total triangular face area = 153 cm^2
2. Area of the rectangular faces:
The side of the prism is a rectangle with dimensions of 17 cm by 7.8 cm, so its area is:
Area = length * width
Area = 17 cm * 7.8 cm
Area = 132.6 cm^2
There are three rectangular faces with the same area, so the total area of the rectangular faces is:
Total rectangular face area = 3 * 132.6 cm^2
Total rectangular face area = 397.8 cm^2
3. Total surface area:
Total surface area = Total triangular face area + Total rectangular face area
Total surface area = 153 cm^2 + 397.8 cm^2
Total surface area = 550.8 cm^2
Therefore, the surface area of the triangular prism is 550.8 cm^2.
The numbers: 9 cm, 17 cm, 9 cm, 17 cm, 9 cm, 17 cm, 9 cm, 17 cm, and 7.8 cm.
What is the surface area of this triangluar prism?
1 answer