The roof of a building is in the shape of a Square pyramid 26 on each side. If the slant height of the pyramid is 25, how much will roofing materials cost at $8.61 per square meter

Answer 1

First, we need to calculate the total surface area of the square pyramid.

To find the total surface area, we need to calculate the area of the base and the area of the four triangular faces.

Area of the base = side^2
Area of the base = 26^2
Area of the base = 676

Now, we need to calculate the area of each triangular face.

Area of each triangular face = 1/2 * base * height
Base of the triangle = 26
Height of the triangle = slant height = 25

Area of each triangular face = 1/2 * 26 * 25
Area of each triangular face = 325

Since there are 4 triangular faces, the total area of the four triangular faces = 4 * 325
Total area of the four triangular faces = 1300

Now, we can calculate the total surface area of the square pyramid by adding the area of the base and the area of the four triangular faces.

Total surface area = area of the base + total area of the four triangular faces
Total surface area = 676 + 1300
Total surface area = 1976 square meters

Now, we can calculate the cost of the roofing materials by multiplying the total surface area by the cost per square meter.

Cost of roofing materials = total surface area * cost per square meter
Cost of roofing materials = 1976 * $8.61
Cost of roofing materials = $16,993.36

Therefore, the cost of the roofing materials for the square pyramid with a slant height of 25 and each side of 26 will be $16,993.36.