Hey Weat floor warning sign is the shape of a triangle 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 triangle face is 18 inches how much fabric is needed to make a sign given the base does not need fabric.
292.5 Inches squared
405 in.²
351 in.²
502.5 in.²
To find the total fabric needed, we need to find the area of the three triangles that make up the pyramid-shaped warning sign.
The area of the front triangle (triangle face) is 1/2 * base * height = 1/2 * 15 * 18 = 135 in²
Since there are two identical triangles on the side, the total area for the two side triangles is 2 * (1/2 * base * height) = 2 * (1/2 * 13 * 18) = 234 in²
Therefore, the total fabric needed is the sum of the three triangles:
135 + 234 = 369 in²
So, the closest option is 351 in².