The Pyramid is an arena in Memphis, Tennessee. Its height is 321 ft., and its slant height is 436.5 ft. Find the length of the edge of the square base. Round the answer to the nearest tenth.
not 935.9
not 227.1
To find the length of the edge of the square base, we can use the formula for the slant height of a pyramid,
slant height = √(height^2 + (base length/2)^2)
where the base length is the length of each side of the square base.
We can rearrange this formula to solve for the base length:
(base length/2)^2 = (slant height)^2 - height^2
(base length/2)^2 = 436.5^2 - 321^2
(base length/2)^2 = 190522.25 - 103041
(base length/2)^2 = 87481.25
base length/2 = √87481.25
base length/2 ≈ 295.5 (rounded to the nearest tenth)
base length ≈ 2 * 295.5 ≈ 591
Therefore, the length of the edge of the square base is approximately 591 feet.