The surface area of a triangular prism can be calculated by finding the area of each individual face and adding them together.
The formula for the surface area of a triangular prism is:
Surface Area = 2 * (base area) + (side area)
If the base of the prism is a triangle with a base of 12 cm and a height of 8 cm, the area of the base would be:
Base Area = 1/2 * base * height = 1/2 * 12 cm * 8 cm = 48 cm^2
If the base triangle of the prism, the lateral faces of the prism would be rectangles with a length equal to the base of 12 cm and a height equal to the slant height of 10 cm.
Side Area = base * height = 12 cm * 10 cm = 120 cm^2
Plugging these values into the formula, we get:
Surface Area = 2 * 48 cm^2 + 120 cm^2 = 96 cm^2 + 120 cm^2 = 216 cm^2
Therefore, the surface area of the triangular prism would be 216 square centimeters.
None of the given answer choices are correct.
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
1 answer
1 answer