Surface Area of Triangular Prisms Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. The net of a triangular prism is shown. What is the surface area of the triangular prism? (1 point) Responses 5,936 square units 5,936 square units 5,684 square units 5,684 square units 5,768 square units 5,768 square units 5,668 square units
The surface area of the triangular prism can be calculated by finding the area of each face and adding them up.
The triangular faces have a base of 26 units and a height of 13 units.
Area of one triangular face = 1/2 * base * height = 1/2 * 26 * 13 = 169 square units
There are two triangular faces, so the total area of the triangular faces = 2(169) = 338 square units
The rectangular faces have dimensions 13 units by 15 units.
Area of one rectangular face = length * width = 13 * 15 = 195 square units
There are three rectangular faces, so the total area of the rectangular faces = 3(195) = 585 square units
Adding the areas of the triangular and rectangular faces together gives the total surface area of the triangular prism:
338 + 585 = 923 square units
Therefore, the surface area of the triangular prism is 923 square units.