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The cube is the three-dimensional hypercube, a family of polytopes also including the two-dimensional square and four-dimensional tesseract. A cube with unit side length is the canonical unit of volume in three-dimensional space, relative to which other solid objects are measured.
Some SI units of volume to scale and approximate corresponding mass of water. To ease calculations, a unit of volume is equal to the volume occupied by a unit cube (with a side length of one). Because the volume occupies three dimensions, if the metre (m) is chosen as a unit of length, the corresponding unit of volume is the cubic metre (m 3).
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. [ 1 ] The cubic inch and the cubic foot are used as units of volume in the United States , although the common SI units of volume, the liter , milliliter , and cubic meter , are also used ...
The volume of a geometric cube is the cube of its side length, giving rise to the name. The inverse operation that consists of finding a number whose cube is n is called extracting the cube root of n. It determines the side of the cube of a given volume. It is also n raised to the one-third power. The graph of the cube function is known as the ...
In algebraic terms, doubling a unit cube requires the construction of a line segment of length x, where x 3 = 2; in other words, x = , the cube root of two. This is because a cube of side length 1 has a volume of 1 3 = 1 , and a cube of twice that volume (a volume of 2) has a side length of the cube root of 2.
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 ...
the volume of a cube of side length one decimetre (0.1 m) equal to a litre 1 dm 3 = 0.001 m 3 = 1 L (also known as DCM (=Deci Cubic Meter) in Rubber compound processing) Cubic centimetre [5] the volume of a cube of side length one centimetre (0.01 m) equal to a millilitre 1 cm 3 = 0.000 001 m 3 = 10 −6 m 3 = 1 mL Cubic millimetre
Unit cube. 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]