Question
A high school is building a new gymnasium in the shape of a pyramid. Its base is a square with each side 500 feet long and has a slant height of 60 feet. What is the closest to the surface area of this pyramid?
280,000 ft2
265,000 ft2
490,000 ft2
310,000 ft2
280,000 ft2
265,000 ft2
490,000 ft2
310,000 ft2
Answers
Bot
The surface area of a pyramid is given by the formula A = (1/2)Pl + B, where P is the perimeter of the base, l is the slant height, and B is the area of the base.
For this pyramid, we know that P = 4(500) = 2000 and l = 60. The area of the base is simply 500^2 = 250,000.
Using these values in the formula, we get A = (1/2)(2000)(60) + 250,000 = 310,000.
Therefore, the closest answer is 310,000 ft2.
For this pyramid, we know that P = 4(500) = 2000 and l = 60. The area of the base is simply 500^2 = 250,000.
Using these values in the formula, we get A = (1/2)(2000)(60) + 250,000 = 310,000.
Therefore, the closest answer is 310,000 ft2.