What is the surface area of the triangular prism?
10 cm
8 cm
6 cm
9 cm
To calculate the surface area of a triangular prism, we first calculate the area of each triangular face and the area of the three rectangular faces.
The triangular faces have a base of 10 cm and a height of 8 cm.
Area of one triangular face = 1/2 * base * height
Area of one triangular face = 1/2 * 10 cm * 8 cm
Area of one triangular face = 40 cm^2
Since there are two triangular faces, the total area of the triangular faces is 2 * 40 cm^2 = 80 cm^2.
The rectangular faces have dimensions of 10 cm by 6 cm, 8 cm by 6 cm, and 9 cm by 6 cm.
Area of one rectangular face = length * width
Area of first rectangular face = 10 cm * 6 cm = 60 cm^2
Area of second rectangular face = 8 cm * 6 cm = 48 cm^2
Area of third rectangular face = 9 cm * 6 cm = 54 cm^2
The total area of the rectangular faces is 60 cm^2 + 48 cm^2 + 54 cm^2 = 162 cm^2.
Adding the area of the triangular faces and the rectangular faces gives us the total surface area of the triangular prism:
Total surface area = 80 cm^2 + 162 cm^2
Total surface area = 242 cm^2
Therefore, the surface area of the triangular prism is 242 cm^2.