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The SI has special names for 22 of these coherent derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m 2), the SI derived unit of area; and the kilogram per cubic metre (kg/m 3 or kg⋅m −3), the SI derived unit of density.
Relation to SI units cubic foot per minute CFM [citation needed] ≡ 1 ft 3 /min = 4.719 474 432 × 10 −4 m 3 /s: cubic foot per second ft 3 /s ≡ 1 ft 3 /s = 0.028 316 846 592 m 3 /s: cubic inch per minute in 3 /min ≡ 1 in 3 /min = 2.731 177 3 × 10 −7 m 3 /s cubic inch per second in 3 /s ≡ 1 in 3 /s = 1.638 7064 × 10 −5 m 3 /s ...
An input unit can be converted to any number of output units—the outputs are specified as a "combination" by separating unit codes with a space (" ") or a plus ("+"). Using a space as a separator does not work if any of the unit codes contains a space. For example, each of the following converts 1.2 km 2 to acres, square yards, and hectares.
A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long. [ 1 ] [ 2 ] The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units. [ 3 ]
The square–cube law was first mentioned in Two New Sciences (1638). The square–cube law (or cube–square law ) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the surface area as a shape's size increases or decreases.
A unit of volume is a unit of measurement for measuring volume or capacity, the extent of an object or space in three dimensions. Units of capacity may be used to specify the volume of fluids or bulk goods, for example water, rice, sugar, grain or flour.
It follows that each face is a unit square and that the entire figure has a volume of 1 cubic unit. [5] [6] Prince Rupert's cube, named after Prince Rupert of the Rhine, is the largest cube that can pass through a hole cut into the unit cube, despite having sides approximately 6% longer. [7]
The same word is used, however, for 100 cubic feet (2.83 m 3) of estimated or supplied loose material, such as sand, gravel, rubble, etc. This unit is prevalent in the construction industry in India. [20] [21] The same area is called a square in the construction industry in North America, [22] and was historically used in Australia by real ...