The top of a skyscraper is shaped like a square pyramid. Each side of the base has a length of 60 meters and the height of each triangle is 20 meters. What is the lateral area of the pyramid?
The surface area of the square pyramid is 6000 square meters.
We have a square pyramid, so the surface area is the area of the 4 triangles plus the area of the square base.
We know that the base has a length of 60 meters, then the area of the base is:
B = (60m)^2 = 3,600 m^2
And for each triangle, the area is:
A = bh/2
where b is the base of the triangle and h is the height.
Here we have:
So the area of each triangle is:
A = 60m20m/2 = 600m^2
Finally, the whole area of the pyramid is:
area = 4*600m^2 + 3,600m^2 = 6,000 m^2
If you want to learn more about pyramids:
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