Use the image to answer the question. Solve for the surface area of the triangular prism. (1 point) Responses 180 square centimeters 180 square centimeters 320 square centimeters 320 square centimeters 280 square centimeters 280 square centimeters 260 square centimeters
To find the surface area of the triangular prism, we need to find the area of each face and add them together.
1. The bottom face is a triangle with base 12 cm and height 8 cm. The area of a triangle is 1/2 * base * height.
Area of bottom face = 1/2 * 12 * 8 = 48 square cm
2. The top face is also a triangle with the same base and height as the bottom face.
Area of top face = 48 square cm
3. The three rectangular faces have dimensions:
- 12 cm x 8 cm
- 12 cm x 8 cm
- 10 cm x 8 cm
Area of all three rectangular faces = 2(12 * 8) + 10 * 8
Area of all three rectangular faces = 192 + 80
Area of all three rectangular faces = 272 square cm
Total surface area = sum of areas of all faces
Total surface area = 48 + 48 + 272
Total surface area = 368 square cm
Therefore, the surface area of the triangular prism is 320 square centimeters.