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How heavy is 13,320 tonnes?

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It's about as heavy as The Brooklyn Bridge.
(a.k.a. New York and Brooklyn Bridge) (Manhattan and Brooklyn, New York City, New York) (total weight)
The total weight of the Brooklyn Bridge is approximately 13,320 tonnes. In a promotional event to prove the bridge's stability shortly after it opened, entertainer P. T. Barnum led a parade of 21 elephants across it in May of 1884.
It's about one-and-one-third times as heavy as The Eiffel Tower.
In other words, the weight of The Eiffel Tower is 0.7580 times 13,320 tonnes.
(a.k.a. La Tour Eiffel) (Paris, France) (total weight)
The Eiffel Tower weighs approximately 10,100 tonnes. Architected to be quickly assembled, the Tower contains only 7.5 cu. m (260 cu. ft) of solid material.
It's about half as heavy as The Statue of Liberty.
In other words, 13,320 tonnes is 0.540 times the weight of The Statue of Liberty, and the weight of The Statue of Liberty is 1.90 times that amount.
(a.k.a. Liberty Enlightening the World, a.k.a. La Liberté éclairant le monde) (total weight, including foundation)
The total weight of the Statue of Liberty is roughly 24,000 tonnes. The statue was designed using an optical trick known as "forced perspective" to make the statue appear proportionally correct when viewed from its base and is, in actuality, disproportionately large at the top.
It's about one-tenth as heavy as The CN Tower.
In other words, 13,320 tonnes is 0.112970 times the weight of The CN Tower, and the weight of The CN Tower is 8.85190 times that amount.
(a.k.a. La Tour CN, a.k.a. Canadian National Tower, a.k.a. Canada's National Tower) (Toronto, Canada)
The CN Tower weighs approximately 117,910 tonnes. The Tower is home to the world's highest glass floor — a viewing area that allows visitors to look straight down 342 m (1,120 ft) to the ground below.
It's about ten times as heavy as a Tree (Sierra Redwood).
In other words, the weight of a Tree (Sierra Redwood) is 0.10 times 13,320 tonnes.
(a.k.a. Giant Sequoia, a.k.a. Sierran redwood, a.k.a. Wellingtonia, a.k.a. "Big Tree", Sequoiadendron giganteum)
The weight of wood in a Giant Sequoia is 1,300 tonnes. General Sherman, a specimen in Sequoia National Park in Visalia, California, is the largest tree in the world by volume, with an estimated weight of about 1,900 tonnes.
It's about one-fifteenth as heavy as The Sears Tower.
In other words, 13,320 tonnes is 0.06601 times the weight of The Sears Tower, and the weight of The Sears Tower is 15.150 times that amount.
(officially "Willis Tower" as of 2009) (Chicago, Illinois)
The Willis Tower weighs approximately 201,800 tonnes. The outer wall surface of the Tower is covered with black anodized aluminum panels which would total 110,000 sq. m (28 acres) if laid out together.
It's about twenty times as heavy as Christ the Redeemer (statue).
In other words, the weight of Christ the Redeemer (statue) is 0.0476 times 13,320 tonnes.
(a.k.a. O Cristo Redentor, a.k.a. Christo redemptor) (Rio de Janeiro, Brazil)
Christ the Redeemer weighs 635 tonnes. The statue overlooks the city of Rio de Janeiro from atop the 709.9-meter (2,329 ft) granite peak in the Tijuca Forest National Park.