Question
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?
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?
Answers
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
where P is the perimeter and H is the height.
V(Cheops)/V(Transamerica)
= (148/260)*(940/140)^2
= 25.7