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How heavy is 681 fluid drams (ʒ)?

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It's about one-fifty-five-thousandth as heavy as The Statue of Liberty (without base)
In other words, 681 fluid drams (ʒ) is 0.000019 times the weight of The Statue of Liberty (without base), and the weight of The Statue of Liberty (without base) is 53,000 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 — the Statue's copper and framework only, excluding the base — is roughly 36,000,000 fluid drams (ʒ). 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 one-sixty-thousandth as heavy as a House
In other words, 681 fluid drams (ʒ) is 0.000017 times the weight of a House, and the weight of a House is 58,800 times that amount.
(149 sq. m, single-level, unfurnished)
A 149 sq. m (1,600 sq. ft), single-story, unfurnished house (without extensive masonry) of the type commonly found in America would weigh approximately 40,100,000 fluid drams (ʒ), based on the weight of the included materials. In contrast, a yurt — a type of dwelling structure popular among nomadic peoples of East Asia — typically weighs less than 118,000 fluid drams (ʒ).
It's about 150,000 times as heavy as a Grain of Rice
In other words, 681 fluid drams (ʒ) is 130,000 times the weight of a Grain of Rice, and the weight of a Grain of Rice is 0.0000077 times that amount.
(conventional; US; long-, medium-, and short-gran varieties; uncooked)
With great differences in variety, the average among a sampling of common short-, medium- and long-grain rices finds that a single grain weighs about 0.0054 fluid drams (ʒ) before cooking. A staple through most of human history, archaeological evidence indicates that the earliest rice cultivation was about 11,500 years ago.
It's about one-two-hundred-fifty-thousandth as heavy as Christ the Redeemer (statue)
In other words, 681 fluid drams (ʒ) is 0.00000417 times the weight of Christ the Redeemer (statue), and the weight of Christ the Redeemer (statue) is 240,000 times that amount.
(a.k.a. O Cristo Redentor, a.k.a. Christo redemptor) (Rio de Janeiro, Brazil)
Christ the Redeemer weighs 163,000,000 fluid drams (ʒ). 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-five-hundred-thousandth as heavy as a Tree (Sierra Redwood)
In other words, 681 fluid drams (ʒ) is 0.0000020 times the weight of a Tree (Sierra Redwood), and the weight of a Tree (Sierra Redwood) is 500,000 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 330,000,000 fluid drams (ʒ). 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 490,000,000 fluid drams (ʒ).
It's about 600,000 times as heavy as a Grain of Sand
In other words, 681 fluid drams (ʒ) is 600,000 times the weight of a Grain of Sand, and the weight of a Grain of Sand is 0.0000017 times that amount.
(medium grain)
With tremendous variety in the size of grain and the component material, grains of sand weigh an average of 0.0011 fluid drams (ʒ). In 2007, a team of seven in Myrtle Beach created the world's tallest sandcastle, which measured 15.10 m (49.55 ft) in height.
It's about 750,000 times as heavy as a Sesame Seed
In other words, 681 fluid drams (ʒ) is 727,000 times the weight of a Sesame Seed, and the weight of a Sesame Seed is 0.00000138 times that amount.
(Sesamum indicum)
A sesame seed weighs approximately 0.000936 fluid drams (ʒ). The McDonald's Big Mac sandwich, which is well-known for its sesame seed top bun, accounts for the consumption of an estimated 517,000 fluid drams (ʒ) of sesame seeds each day.