The roof of village is in the shape of an octonal pyramid
Each side of the octagon is 12 ft the height of each triangular face is 10 ft the area of the octagon is 695 ft how many square feet is cedar are needed to cover the surface area of the lateral octagonal pyramid?
360 ft
1,175 ft
960 ft
480 ft
To find the lateral surface area of the octagonal pyramid, you first need to calculate the area of each of the eight triangular faces.
Since each face is a triangle with a base of 12 ft and a height of 10 ft, you can use the formula for the area of a triangle: (1/2) * base * height.
Area of one triangle = (1/2) * 12 ft * 10 ft = 60 ft^2
Since there are 8 of these triangles on the lateral surface of the pyramid, the total lateral surface area is:
Total lateral surface area = 8 * 60 ft^2 = 480 ft^2
Therefore, 480 sq ft of cedar would be needed to cover the lateral surface area of the octagonal pyramid.
Thus, the correct answer is 480 ft.