Determine the surface area of the triangular prism.(1 point)
5cm 3cm 4cm 11cm
To determine the surface area of a triangular prism, you need to calculate the area of each face and then add them together.
The triangular faces have a base of 5 cm and a height of 3 cm, so the area of each triangular face is (1/2) * base * height = (1/2) * 5 * 3 = 7.5 cm².
Since there are two triangular faces, the total area of the triangular faces is 2 * 7.5 = 15 cm².
The rectangular faces have dimensions of 5 cm by 11 cm and 3 cm by 11 cm, so their areas are 5 * 11 = 55 cm² and 3 * 11 = 33 cm², respectively.
Adding the area of the triangular faces and the area of the rectangular faces together gives a total surface area of 15 + 55 + 33 = 103 cm².
Therefore, the surface area of the triangular prism is 103 cm².