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How heavy is 63 grains?

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It's about as heavy as a Die (Dice).
(for six-sided, 16 mm, rounded cube)
A die, of the size most commonly used in board games and casinos, typically weight 63 grains. The use of dice and dice-like tools predates written history, with the oldest known examples belonging to a 5,000-year old backgammon set uncovered during an archaeological dig in modern-day Iran.
It's about four-fifths as heavy as a sheet of Paper.
In other words, the weight of a sheet of Paper is 1 times 63 grains.
(for US Letter, a.k.a. ANSI A; 215.9mm by 279.4mm (8.5 in x 11 in); 20lb)
The weight of a ream (500 sheets) of 100,000 grains, 8.5 inch x 11 inch paper is 30,000 grains, each sheet weighing 80 grains. Paper of this size has a thickness of 0.004 caliper (0.1 mm).
It's about seven-tenths as heavy as a Quarter.
In other words, 63 grains is 0.720 times the weight of a Quarter, and the weight of a Quarter is 1.3890 times that amount.
(United States quarter-dollar coin) (a.k.a. Quarter dollar, a.k.a. America the Beautiful quarter, a.k.a. two bits)
The America the Beautiful series quarters, which began to enter circulation in 2017, weigh 87.50 grains each. In answer to the common riddle, there are 119 ridges around the edge of the coin in its current design.
It's about one-and-three-fifths times as heavy as a Penny.
In other words, the weight of a Penny is 0.630 times 63 grains.
(United States) (formally one-cent coin) (Union shield design, 2010-present)
The weight of a United States penny is 39 grains. According to a 2010 report by the United States Mint, the cost of manufacturing and distributing a penny is $0.0179 — more than its face-value.
It's about three-fifths as heavy as an Eye (Human).
In other words, 63 grains is 0.570 times the weight of an Eye (Human), and the weight of an Eye (Human) is 1.80 times that amount.
(adult)
A fully developed eye (in a person over the age of thirteen), weighs about 110 grains. The pupil of the eye varies depending on the amount of light it is exposed to, but typically measures about 4 mm across.
It's about two-and-a-half times as heavy as a Playing Card.
In other words, the weight of a Playing Card is 0.430 times 63 grains.
(ISO 216 B8 size, 2.5" x 3.5")
A single ISO 216 B8-size playing card weighs 28 grains. Although this size is the most common home playing card, many casinos use "bridge size" cards — 2,640 sq. mm (4.036 sq. in) smaller in area.
It's about three times as heavy as a Paper Clip.
In other words, 63 grains is 2.90 times the weight of a Paper Clip, and the weight of a Paper Clip is 0.340 times that amount.
(average)
Notwithstanding the tremendous variation in sizes and materials, a typical paperclip weighs about 22 grains. The country of Norway has used the paper clip as something of a national symbol since the end of World War II based on the erroneous notion that the paperclip was invented by a Norwegian, Johan Vaaler. However, the paperclip had already been in existence for at least 30 years by the time of Vaaler patented his paperclip design.