Question

1. The Luxor Hotel in Las Vegas is a replica of the Great Pyramid at Giza. The Luxor's base is a square

with a side length of 600 feet. Each lateral face has a slant height of 460 feet, and the hotel is
350 feet tall.
a. What is the volume of the Luxor Hotel?
b. What is the lateral surface area of the Luxor Hotel7

Answer 1

(a) 42000000 cubic feet

(b) 552000 square feet

Explanation:

base side length, a = 600 feet

slant height , L = 460 feet

height, h = 350 feet

(A) Volume of the hotel is

`V =(a^2h)/(3)\\\\V =(600*600*350)/(3)\\\\V = 4.2* 10^7 feet^3`

(B) Lateral surface area is

A = 2 a L

A = 2 x 600 x 460

A = 552000 square feet