Geometry

The Great Pyramid of Cheops is a right square pyramid
with height of 148 m and a square base with a perimeter
of 940 m. The Transamerica Building in San Francisco
has the basic shape of a right square pyramid that has a
square base with a perimeter of 140 m and a height of
260 m. Which one has the greater volume and by how
many times as great?

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  1. Volume = (1/3)*(P/4)^2*H = (1/48)P^2*H
    where P is the perimeter and H is the height.
    V(Cheops)/V(Transamerica)
    = (148/260)*(940/140)^2
    = 25.7

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