what is the surface area of the triangular prism
The dimensions are 5cm 3 cm 4 cm and 11cm
To find the surface area of a triangular prism, you need to find the areas of each of the faces and then add them together.
1. Area of the triangular bases:
Area = 1/2 * base * height
Area = 1/2 * 5cm * 4cm = 10cm^2
Since there are two triangular bases, the total area of the bases is 2 * 10cm^2 = 20cm^2
2. Area of the three rectangular faces:
Face 1:
Area = length * width
Area = 5cm * 11cm = 55cm^2
Face 2:
Area = length * width
Area = 3cm * 11cm = 33cm^2
Face 3:
Area = length * width
Area = 3cm * 5cm = 15cm^2
Total area of the three rectangular faces = 55cm^2 + 33cm^2 + 15cm^2 = 103cm^2
3. Adding the areas of the bases and the faces:
Total surface area = 20cm^2 + 103cm^2 = 123cm^2
Therefore, the surface area of the triangular prism is 123 square centimeters.