Use the image to answer the question unit six surface area lesson four surface area of triangular prisms quick check question number three and we have the base of it is 10 cm. The left side is 6 cm the right length is 10 cm on the back base is another 10 cm And the front is another 8 cm with the answer V3 120 cm² one 80 cm² 280 cm² are 260 cm²
Given the dimensions provided in the image, to find the total surface area of the triangular prism, you need to find the area of all the individual faces and then add them together.
The formula to find the surface area of a triangular prism is:
Surface Area = 2*base area + lateral area
1. The base area of the triangular prism:
Base area = 1/2 * base * height
Base area = 1/2 * 10 cm * 6 cm
Base area = 30 cm²
2. The lateral area of the triangular prism:
Lateral area = perimeter of base * height
Perimeter of base = 10 cm + 6 cm + 10 cm = 26 cm
Lateral area = 26 cm * 8 cm
Lateral area = 208 cm²
3. Total Surface Area:
Surface Area = 2*30 cm² + 208 cm²
Surface Area = 60 cm² + 208 cm²
Surface Area = 268 cm²
Therefore, the correct answer is 260 cm².