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How heavy is 1.20 ounces?

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It's about one-third as heavy as a Deck of Cards.
In other words, the weight of a Deck of Cards is 2.80 times 1.20 ounces.
(ISO 216 B8 size, a.k.a. "poker size" 63 x 88 mm, 52-card deck)
A deck of 52 ISO 216 B8-size playing cards weighs 3.30 ounces. Utilizing nearly 3,700 decks, the record-holding largest card tower was built in early 2010, stood over 3.5 m (11 ft), and weighed over 8,000 ounces.
It's about three times as heavy as a Battery (AAA).
In other words, 1.20 ounces is 2.80 times the weight of a Battery (AAA), and the weight of a Battery (AAA) is 0.360 times that amount.
(Alkaline)
An "AAA" size battery weighs 0.420 ounces. Batteries are named by the American National Standards Institute (ANSI) Committee C18 and AAA batteries were given their name because they were smaller than the "AA" and "A" size batteries which were invented first.
It's about one-fourth as heavy as a Battery (D).
In other words, 1.20 ounces is 0.2520 times the weight of a Battery (D), and the weight of a Battery (D) is 3.970 times that amount.
(Alkaline)
A "D" size battery weighs 4.760 ounces. The D size battery is the oldest of the modern battery sizes, first invented by the National Carbon Company in 1898.
It's about one-fourth as heavy as a Baseball.
In other words, 1.20 ounces is 0.234146341463410 times the weight of a Baseball, and the weight of a Baseball is 4.27083333333340 times that amount.
(MLB rules)
Per Major League Baseball rules, a baseball must weigh between 5 ounces and 5.250 ounces. A major league pitcher can throw a baseball at up to 150 kph (91 mph) (with a fastball pitch), with record-setting pitches as fast as 171 kph (106 mph).
It's about one-fifth as heavy as a Billiard Ball.
In other words, 1.20 ounces is 0.208695652173910 times the weight of a Billiard Ball, and the weight of a Billiard Ball is 4.79166666666670 times that amount.
(American-style, WPA specifications)
Per the World Pool-Billiard Association, a billiard ball weight must weigh between 5.50 ounces and 6 ounces. According to legend, the difficulty in obtaining elephant ivory for the manufacture of billiard balls in the 19th century inspired the search for a replacement material, which led to the development of the first industrial plastic.
It's about one-fifth as heavy as a Puck (Hockey).
In other words, 1.20 ounces is 0.208695652173910 times the weight of a Puck (Hockey), and the weight of a Puck (Hockey) is 4.79166666666670 times that amount.
(Ice hockey)
A standard ice hockey puck weighs between 5.50 ounces and 6 ounces. Hockey pucks can be shot or passed at speeds of up to 160 kph (99 mph) during games.
It's about five times as heavy as an Eye (Human).
In other words, 1.20 ounces is 4.80 times the weight of an Eye (Human), and the weight of an Eye (Human) is 0.210 times that amount.
(adult)
A fully developed eye (in a person over the age of thirteen), weighs about 0.25 oz. The pupil of the eye varies depending on the amount of light it is exposed to, but typically measures about 4 mm across.