Question

The luxor hotel in las vegas is a square base pyramid that is 646 feet wide at the base and 350 feet tall. if the outer walls of the hotel are covered in glass, what was the minimum amount of glass used for the exterior?

Answer 1

We must calculate the lateral area which is given by:
A = (1/2) * pb * Ap
Where,
pb: perimeter of the base
Ap: Apotema
Calculating the apothem we have:
Ap = root ((646/2) ^ 2 + (350) ^ 2)
Ap = 476.27 feet
Calculating the perimeter of the base we have:
pb = 4 * (646)
pb = 2584 feet
Substituting values:
A = (1/2) * pb * Ap
A = (1/2) * (2584) * (476.27)
A = 615340.84 m ^ 2
Answer:
The minimum amount of glass used for the exterior is:
A = 615340.84 m ^ 2