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A cubic yard (symbol yd 3) [1] is an Imperial / U.S. customary (non-SI non-metric) unit of volume, used in Canada and the United States. It is defined as the volume of a cube with sides of 1 yard (3 feet , 36 inches , 0.9144 meters ) in length .
The quarter of a yard (9 inches) was known as the "quarter" without further qualification, while the sixteenth of a yard (2.25 inches) was called a nail. [62] The eighth of a yard (4.5 inches) was sometimes called a finger, [63] but was more commonly referred to simply as an eighth of a yard, while the half-yard (18 inches) was called "half a ...
A board foot is a United States and Canadian unit of approximate volume, used for lumber. It is equivalent to 1 inch × 1 foot × 1 foot (144 cu in or 2,360 cm 3). It is also found in the unit of density pounds per board foot. In Australia and New Zealand the terms super foot or superficial foot were formerly used for this unit. The exact ...
The basic unit of length in the imperial and U.S. customary systems is the yard, defined as exactly 0.9144 m by international treaty in 1959. [2] [10] Common imperial units and U.S. customary units of length include: [11] thou or mil (1 ⁄ 1000 of an inch) inch (25.4 mm) foot (12 inches, 0.3048 m) yard (3 feet, 0.9144 m)
A fire hydrant marked as 3-inch. The inch (symbol: in or ″) is a unit of length in the British Imperial and the United States customary systems of measurement.It is equal to 1 / 36 yard or 1 / 12 of a foot.
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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[1] The Latin text from the manuscript known as BL Cotton MS Claudius D 2 is translated in Ruffhead's Statutes at Large) as It is ordained that 3 grains of barley dry and round do make an inch, 12 inches make 1 foot, 3 feet make 1 yard, 5 yards and a half make a perch, and 40 perches in length and 4 in breadth make an acre. [2] [3]: 277