A building in the shapeof a sqaure pyramid is to be covered with one-way reflective glass. One side of the base of the pyramid is 110m. The slant height of the pyramid is 125m. How much felfective glass is needed to cover the four sides fo the pyramid?
Help, the answer is 27,500m cubed.
But I don't know how you get that answre.
Each side is a triangle with area
(1/2)*110*125 m^2.
Four sides gives you a total area of 220*125 = ?
what was the fiftieth state in the u.s is a island.in fact it is a chain of islands or archipelago.
What is Hawaii?
To find the amount of reflective glass needed to cover the four sides of the pyramid, we need to first calculate the total surface area of the four triangular faces.
1. Calculate the area of one triangular face:
The area of a triangle can be found using the formula: Area = 1/2 * base * height.
Given that the base of the triangle is 110m, and the slant height of the pyramid is 125m, we can use the Pythagorean theorem to find the height of the triangle. According to the Pythagorean theorem, the square of the height is equal to the square of the slant height minus the square of half the base.
height^2 = slant height^2 - (base / 2)^2
height^2 = 125^2 - (110 / 2)^2
height^2 = 125^2 - 55^2
height^2 = 15625 - 3025
height^2 = 12600
height = √12600
height ≈ 112.24m
Now we can calculate the area of one triangular face:
Area = 1/2 * base * height
Area = 1/2 * 110m * 112.24m
Area ≈ 6162.2m²
2. Calculate the total surface area of the four triangular faces:
Since there are four sides to the pyramid, we multiply the area of one triangular face by four:
Total Surface Area = 4 * Area
Total Surface Area = 4 * 6162.2m²
Total Surface Area ≈ 24648.8m²
The answer you mentioned, 27,500m³, appears to be incorrect. The unit of measurement for the surface area of the pyramid would be square meters (m²), not cubic meters (m³). Therefore, based on the calculations, it is concluded that approximately 24,648.8 square meters of reflective glass is needed to cover the four sides of the pyramid.