what is the surface area of the triangular prism?
5cm 3cm 4cm 11cm
To find the surface area of a triangular prism, we first need to find the area of the two triangular bases and the three rectangular faces.
First, we calculate the area of the triangular bases:
Area of each triangular base = (1/2) * base * height
Area of each triangular base = (1/2) * 4 cm * 3 cm = 6 cm²
Total area of both triangular bases = 2 * 6 cm² = 12 cm²
Next, we calculate the area of the three rectangular faces:
Area of the rectangular face = length * width
Area of one rectangular face = 5 cm * 4 cm = 20 cm²
Area of two rectangular faces = 2 * 20 cm² = 40 cm²
Now, we calculate the total surface area of the triangular prism:
Total surface area = 12 cm² (triangular bases) + 40 cm² (rectangular faces)
Total surface area = 52 cm²
Therefore, the surface area of the triangular prism is 52 cm².