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How heavy is 0.0032 tons?

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It's about as heavy as a Brick.
(Standard, traditional face brick - 1,900 cu. cm (120 cu. in))
A standard, traditional face brick weighs an average of 0.0032 tons. The steeple of the Church of St. Martin in Landshut, Germany is said to be the tallest brick tower in the world at a height of 130.6 m (428.5 ft) and was constructed using an estimated 650,000 bricks.
It's about one-and-three-tenths times as heavy as a Chihuahua.
In other words, 0.0032 tons is 1.290 times the weight of a Chihuahua, and the weight of a Chihuahua is 0.7750 times that amount.
(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 three-fifths as heavy as a Gallon of Paint.
In other words, the weight of a Gallon of Paint is 2 times 0.0032 tons.
(excluding container; average weight)
A gallon of paint weighs about 0.006 tons. Every day, 10,000,000 L (3,000,000 gal) of paint are applied in the United States.
It's about three-fifths as heavy as a Cat.
In other words, the weight of a Cat is 2 times 0.0032 tons.
(Felis catus) (Domestic; healthy weight)
The average domestic cat should weigh between 0.005 tons. Cats are known for their righting reflex, which allows them to land on their feet and survive falls from heights of 1 m (3 ft) up to about 21 m.
It's about two times as heavy as a Human Brain.
In other words, 0.0032 tons is 2.150 times the weight of a Human Brain, and the weight of a Human Brain is 0.4650 times that amount.
(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 two-fifths as heavy as a Bowling Ball.
In other words, 0.0032 tons is 0.4266666670 times the weight of a Bowling Ball, and the weight of a Bowling Ball is 2.343750 times that amount.
(most common selection among male bowlers)
With an allowable range of 0.0055 tons, the most-preferred bowling ball weight among adult, male bowlers is 0.0075 tons. Because regulation balls measure the same diameter irrespective of their weight, ball density varies by size and balls weighing less than about 0.00551155655 tons will float in water.
It's about three times as heavy as a liter of Water.
In other words, 0.0032 tons is 2.902910 times the weight of a liter of Water, and the weight of a liter of Water is 0.34448190 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).