To find the surface area of a triangular prism, you need to calculate the area of all the faces and then add them together.
The formula for finding the surface area of a triangular prism is:
Surface Area = 2 * (base area of triangle) + (perimeter of triangle) * (height of prism)
Given that the base of the triangular prism is a triangle with base = 10 cm and height = 8 cm, the base area of the triangle would be:
Base area = (1/2) * base * height
Base area = (1/2) * 10 cm * 8 cm
Base area = 40 square centimeters
Given that the perimeter of the triangle is 26 cm (10 cm + 8 cm + 8 cm) and the height of the prism is 6 cm, the surface area of the triangular prism would be:
Surface Area = 2 * 40 square centimeters + 26 cm * 6 cm
Surface Area = 80 square centimeters + 156 square centimeters
Surface Area = 236 square centimeters
Therefore, the correct answer is not included in the provided options. The closest option is 260 square centimeters, but the correct surface area for the triangular prism is actually 236 square centimeters.
Solve for the surface area of the triangular prism.
(1 point)
Responses
260 square centimeters
260 square centimeters
180 square centimeters
180 square centimeters
320 square centimeters
320 square centimeters
280 square centimeters
280 square centimeters
1 answer
1 answer