Final answer:
The surface area of the glass triangular prism is 78 square inches.
Step-by-step explanation:
To find the surface area of the glass triangular prism, we need to find the area of each face and then sum them up. The prism has two triangular bases and three rectangular faces. The area of each triangular base is given by the formula A = (1/2) * base * height, where the base is 4 inches and the height is 3 inches. Therefore, the area of each base is (1/2) * 4 * 3 = 6 square inches. The total area of both bases is 2 * 6 = 12 square inches.
The area of each rectangular face can be found using the formula A = length * height, where the length is 4 inches and the height is 5.5 inches. Therefore, the area of each rectangular face is 4 * 5.5 = 22 square inches. The total area of all three rectangular faces is 3 * 22 = 66 square inches.
Finally, we can find the total surface area by adding the area of the bases and the area of the faces: 12 + 66 = 78 square inches.