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 502.5 in.2 502.5 in. squared 292.5 in.2 292.5 in. squared 405 in.2 405 in. squared 351 in.2
The total surface area of the triangular pyramid can be calculated by finding the area of the three triangular faces and adding them together.
First, calculate the area of one triangular face using the formula:
Area = 0.5 * base * height
Area = 0.5 * 15 in * 18 in
Area = 135 in^2
Since there are three triangular faces, the total area for all three faces is:
Total area = 3 * 135 in^2
Total area = 405 in^2
Therefore, the amount of fabric needed to make the sign is 405 in^2.