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The volume of a cuboid is the product of its length, width, and height. Because all the edges of a cube are equal in length, it is: [ 4 ] V = a 3 . {\displaystyle V=a^{3}.} One special case is the unit cube , so-named for measuring a single unit of length along each edge.
The cubic inch (symbol in 3) is a unit of volume in the Imperial units and United States customary units systems. It is the volume of a cube with each of its three dimensions (length, width, and height) being one inch long which is equivalent to 1 ⁄ 231 of a US gallon.
That cube will be referred to as a size 3 cube and in general an cube will be referred to as a size cube. Rubik cube family Cubes that have similar rotational properties to the standard Rubik's size 3 cube and obey generalized rules for a size n {\displaystyle n} cube are considered to be members of the Rubik cube family.
The image on the left is a cube viewed face-on. The analogous viewpoint of the tesseract in 4 dimensions is the cell-first perspective projection, shown on the right. One may draw an analogy between the two: just as the cube projects to a square, the tesseract projects to a cube. Note that the other 5 faces of the cube are not seen here.
[3] [c] In the case that all six faces are squares, the result is a cube. [4] If a rectangular cuboid has length , width , and height , then: [5] its volume is the product of the rectangular area and its height: =.
The term unit cube or unit hypercube is also used for hypercubes, or "cubes" in n-dimensional spaces, for values of n other than 3 and edge length 1. [1] [2]Sometimes the term "unit cube" refers in specific to the set [0, 1] n of all n-tuples of numbers in the interval [0, 1].
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For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter side—the ratio of width to height, [1] [2] when the rectangle is oriented as a "landscape". The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal fraction. The values x and y do ...