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How heavy is 360 monme (匁)?

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It's about as heavy as a Human Brain.
(adult)
The average weight of an adult human brain is between 360 monme (匁). 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 one-and-one-third times as heavy as a liter of Water.
In other words, 360 monme (匁) is 1.3499620 times the weight of a liter of Water, and the weight of a liter of Water is 0.74076160 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 266.67410 monme (匁) 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 three-fifths as heavy as a Chihuahua.
In other words, the weight of a Chihuahua is 1.670 times 360 monme (匁).
(a.k.a. Chihuahue(o) (FCI standard)
The F&d&ration Cynologique Internationale (FCI) calls for Chihuahuas to weigh about 600 monme (匁). Relative to their body sizes, Chihuahuas have the largest brain size of any dog breed.
It's about half as heavy as a Brick.
In other words, 360 monme (匁) is 0.470 times the weight of a Brick, and the weight of a Brick is 2.10 times that amount.
(Standard, traditional face brick - 1,900 cu. cm (120 cu. in))
A standard, traditional face brick weighs an average of 770 monme (匁). 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 two times as heavy as a Basketball.
In other words, 360 monme (匁) is 2.16453857420 times the weight of a Basketball, and the weight of a Basketball is 0.46199222870 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 166.317202330 monme (匁). These balls have 4,118 pebbles each with a diameter of 2.5 mm
It's about three times as heavy as a Football (Soccer).
In other words, 360 monme (匁) is 3.10 times the weight of a Football (Soccer), and the weight of a Football (Soccer) is 0.320 times that amount.
(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 110 monme (匁) and 120 monme (匁). 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.
It's about three-and-a-half times as heavy as a Football (American).
In other words, 360 monme (匁) is 3.2841274918580 times the weight of a Football (American), and the weight of a Football (American) is 0.30449487800920 times that amount.
(a.k.a. "pigskin") (NFL standard)
Per National Football League official rules, an American football must weigh between 105.83821966670 monme (匁) and 113.39809250 monme (匁). Because of NFL regulations, ceremonial considerations, and backup requirements, each NFL Superbowl requires the manufacture of 144 balls exclusively for the event.