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The system can be traced back to the measuring systems of the Hindus [18]: B-9 and the ancient Egyptians, who subdivided the hekat (about 4.8 litres) into parts of 1 ⁄ 2, 1 ⁄ 4, 1 ⁄ 8, 1 ⁄ 16, 1 ⁄ 32, and 1 ⁄ 64 (1 ro, or mouthful, or about 14.5 ml), [19] and the hin similarly down to 1 ⁄ 32 (1 ro) using hieratic notation, [20] as ...
The reputed quart was a measure equal to two-thirds of an imperial quart (or one-sixth of an imperial gallon), at about 0.7577 liters, which is very close to one US fifth (0.757 liters). The reputed quart was previously recognized as a standard size of wine bottle in the United Kingdom, and is only about 1% larger than the current standard wine ...
This quarter was a unit of 8 bushels of 8 gallons each, understood at the time as a measure of both weight and volume: the grain gallon or half-peck was composed of 76,800 grains weight; the ale gallon was composed of the ale filling an equivalent container; and the wine gallon was composed of the wine weighing an equivalent amount to a full ...
However, apothecaries' weight has now been superseded by the metric system. One important difference is the widespread use in Britain of the stone of 14 pounds ( 6.350 293 18 kg ) for body weight; this unit is not used in the United States, although flour was sold by a barrel of 196 pounds (14 stone) until World War II.
1. A cone and a cylinder have radius r and height h. 2. The volume ratio is maintained when the height is scaled to h' = r √ π. 3. Decompose it into thin slices. 4. Using Cavalieri's principle, reshape each slice into a square of the same area. 5. The pyramid is replicated twice. 6. Combining them into a cube shows that the volume ratio is 1:3.
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One drink is defined as 1.5 ounces of liquor, 12 ounces of beer or 5 ounces of wine. Taub-Dix points out that alcoholic cocktails are often made with ingredients like mixers, syrups and juice drinks.
Prior to metrication, in the United Kingdom, the standard single measure of spirits in a pub was 1 ⁄ 6 gill (23.7 mL) in England and Northern Ireland, and either 1 ⁄ 5 gill (28.4 mL) or 1 ⁄ 4 gill (35.5 mL) in Scotland. After metrication, this was replaced by measures of either 25 or 35 millilitres (0.176 or 0.246 gi), at the discretion ...
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