A “wet floor” warning sign is in the shape of a triangular pyramid without a base. The edge length of the base equilateral triangle is 15 inches, the height of the base triangle is 13 inches, and the height of the triangular faces is 18 inches. How much fabric is needed to make the sign given the base does not need fabric?(1 point)
Responses
405 in.2
351 in.2
502.5 in.2
292.5 in.2
To find the total surface area of the triangular pyramid, we need to find the area of the three triangular faces.
Each face is an isosceles triangle, with base 15 inches and height 18 inches. The area of one face is 1/2 * base * height = 1/2 * 15 * 18 = 135 in^2.
Since there are 3 faces on the triangular pyramid, the total area for all three faces is: 3 * 135 = 405 in^2.
Therefore, the correct answer is: 405 in^2.