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How heavy is 370 grains?

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It's about one-ten-thousandth as heavy as a Pig
In other words, the weight of a Pig is 10,000 times 370 grains.
(Domestic pig, Sus scrofa domesticus, a.k.a. S. domesticus) (adult)
Domestic pigs weigh between 3,900,000 grains. The titular character "Babe the pig" in the 1995 family film was played by 48 different American Yorkshire piglets due to the length of filming and the rate at which piglets reach adulthood.
It's about one-ten-thousandth as heavy as a cubic meter of Snow
In other words, the weight of a cubic meter of Snow is 10,000 times 370 grains.
(Freshly fallen, standard conditions; measurements taken in Norway, 1965-68)
One cubic meter of freshly fallen snow under standard conditions weighs an average of 3,500,000 grains. Assembled in 2008, the world record largest snowman was constructed of 91,000,000,000 grains of snow and stood 37.21 m (122.1 ft) tall.
It's about one-eight-thousand-five-hundredth as heavy as The Heart of a Blue Whale
In other words, the weight of The Heart of a Blue Whale is 8,300 times 370 grains.
(Balaenoptera musculus) (adult)
(for a 2014 specimen)
The heart of a blue whale weighs about 3,100,000 grains. These hearts pump an estimated 7,100 L (1,875 gal) of blood through the whale's massive body.
It's about one-seven-thousandth as heavy as a Reindeer
In other words, 370 grains is 0.000145 times the weight of a Reindeer, and the weight of a Reindeer is 6,900 times that amount.
(for Rangifer tarandus granti, adult, bull) (a.k.a. Caribou) ()Rangifer tarandus)
An adult, male reindeer weighs between 2,550,000 grains. Reindeer undertake a lengthy annual migration, with some herds traveling up to 5,000 km.

To all those observing, Merry Christmas from the Measure of Things.
It's about one-six-thousandth as heavy as a Panda Bear
In other words, 370 grains is 0.00016 times the weight of a Panda Bear, and the weight of a Panda Bear is 6,300 times that amount.
(a.k.a. Giant Panda, Ailuropoda melanoleuca)(Adult, male)
An adult, male Giant Panda weighs up to 2,300,000 grains. Despite having the digestive system of a carnivore, the panda eats only bamboo and must eat up to 99,000 grains of it per day to compensate for the limited energy the plant provides.
It's about one-three-thousand-five-hundredth as heavy as a Kangaroo
In other words, the weight of a Kangaroo is 3,600 times 370 grains.
(for red kangaroo, Macropus rufus) (adult, male)
An adult, male red kangaroo weighs up to 1,300,000 grains. Fantastic jumpers, red kangaroos can leap horizontally 9 m (30 ft) and vertically 3 m (9 ft) in a single bound.
It's about one-three-thousandth as heavy as a Beer Keg
In other words, 370 grains is 0.0003293 times the weight of a Beer Keg, and the weight of a Beer Keg is 3,037 times that amount.
(for US half-barrel, full keg; draft beer; including keg itself, stainless steel)
A typical, half-barrel beer keg weighs 1,123,000 grains when full. A keg of this size contains 15.5 gallons of beer, or the equivalent of 6.8 cases.