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How heavy is 6.70 tons?

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It's about one-two-thousandth as heavy as The Brooklyn Bridge.
In other words, 6.70 tons is 0.0004563 times the weight of The Brooklyn Bridge, and the weight of The Brooklyn Bridge is 2,192 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 2,500 times as heavy as a Chihuahua.
In other words, the weight of a Chihuahua is 0.00037 times 6.70 tons.
(a.k.a. Chihuahue(o) (FCI standard)
The F&d&ration Cynologique Internationale (FCI) calls for Chihuahuas to weigh about 0.00248 tons. Relative to their body sizes, Chihuahuas have the largest brain size of any dog breed.
It's about one-four-thousandth as heavy as The Statue of Liberty.
In other words, 6.70 tons is 0.000247 times the weight of The Statue of Liberty, and the weight of The Statue of Liberty is 4,050 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 4,500 times as heavy as a Human Brain.
In other words, the weight of a Human Brain is 0.000222 times 6.70 tons.
(adult)
The average weight of an adult human brain is between 0.00149 tons. In humans and primates, sight and vision utilize about 30 different parts of the brain which together account for about half of the brain's size.
It's about 6,000 times as heavy as a liter of Water.
In other words, 6.70 tons is 6,077.9680 times the weight of a liter of Water, and the weight of a liter of Water is 0.0001645287 times that amount.
(fresh; 4° C / 39.2° F; maximum density)
Contrary to popular belief, 1 liter (0.0.264172052358148 gal) of water at 4° C / 39.2° F (its point of maximum density) weighs 0.001102342 tons rather than 1 kg exactly. The total volume of water on the planet Earth is about 13,590,000,000,000,000,000 (13.59 quntillion) L (3,590,000,000,000,000,000 gallons).
It's about 9,500 times as heavy as a Basketball.
In other words, 6.70 tons is 9,745.45454550 times the weight of a Basketball, and the weight of a Basketball is 0.0001026119403 times that amount.
(NBA official ball standards, Size 7)
A regulation NBA basketball, manufactured by Spalding, is known as a Size 7 ball and weighs 0.0006875 tons. These balls have 4,118 pebbles each with a diameter of 2.5 mm
It's about 15,000 times as heavy as a Football (Soccer).
In other words, the weight of a Football (Soccer) is 0.0000710 times 6.70 tons.
(a.k.a. Soccer, a.k.a. Association Football) (FIFA Law 2 specification)
According to FIFA's Law of the Game number 2, a football must weigh between 0.00045 tons and 0.0005 tons. An artifact on display at the Smith Art Gallery in Museum in Stirling, Scotland is said to be the world's oldest football and is about one-third to one-half the size of a modern football.