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How heavy is 7,000 tons?

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It's about three-fifths as heavy as The Eiffel Tower
In other words, 7,000 tons is 0.629 times the weight of The Eiffel Tower, and the weight of The Eiffel Tower is 1.59 times that amount.
(a.k.a. La Tour Eiffel) (Paris, France) (total weight)
The Eiffel Tower weighs approximately 11,100 tons. Architected to be quickly assembled, the Tower contains only 930 cu. meters of solid material.
It's about half as heavy as The Brooklyn Bridge
In other words, 7,000 tons is 0.4767 times the weight of The Brooklyn Bridge, and the weight of The Brooklyn Bridge is 2.10 times that amount.
(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 14,680 tons. 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-fourth as heavy as The Statue of Liberty
In other words, 7,000 tons is 0.258 times the weight of The Statue of Liberty, and the weight of The Statue of Liberty is 3.88 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, including her base is roughly 27,100 tons. 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 five times as heavy as a Tree (Sierra Redwood)
In other words, 7,000 tons is 4.9 times the weight of a Tree (Sierra Redwood), and the weight of a Tree (Sierra Redwood) is 0.2 times that amount.
(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 1,400 tons. 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 2,100 tons.
It's about ten times as heavy as Christ the Redeemer (statue)
In other words, 7,000 tons is 10 times the weight of Christ the Redeemer (statue), and the weight of Christ the Redeemer (statue) is 0.1 times that amount.
(a.k.a. O Cristo Redentor, a.k.a. Christo redemptor) (Rio de Janeiro, Brazil)
Christ the Redeemer weighs 700 tons. 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.
It's about one-twentieth as heavy as The CN Tower
In other words, 7,000 tons is 0.05386 times the weight of The CN Tower, and the weight of The CN Tower is 18.568 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 129,970 tons. 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 one-thirtieth as heavy as The Sears Tower
In other words, 7,000 tons is 0.0315 times the weight of The Sears Tower, and the weight of The Sears Tower is 31.78 times that amount.
(officially "Willis Tower" as of 2009) (Chicago, Illinois)
The Willis Tower weighs approximately 222,400 tons. 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.