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An example of the tetragonal crystals, wulfenite Two different views (top down and from the side) of the unit cell of tP30-CrFe (σ-phase Frank–Kasper structure) that show its different side lengths, making this structure a member of the tetragonal crystal system.
6 volumetric measures from the mens ponderia in Pompeii, a municipal institution for the control of weights and measures (79 A. D.). A unit of volume is a unit of measurement for measuring volume or capacity, the extent of an object or space in three dimensions.
Example of a quadrilateral-faced non-convex hexahedron. In geometry, a cuboid is a hexahedron with quadrilateral faces, meaning it is a polyhedron with six faces; it has eight vertices and twelve edges.
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, the formula for the volume of a cube as the third power of its side length, leading to the use of the term cubic to mean raising any number to the third power: [ 7 ] [ 6 ] V = a 3 . {\displaystyle V=a^{3}.}
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. The impossibility of doubling the cube is therefore equivalent to the statement that 2 3 {\displaystyle {\sqrt[{3}]{2}}} is not a constructible number .
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].
A rectangular cuboid is a convex polyhedron with six rectangle faces. The dihedral angles of a rectangular cuboid are all right angles, and its opposite faces are congruent. [2]
the volume of a cube of side length one hectometre (100 m) equal to a gigalitre in civil engineering abbreviated MCM for million cubic metres 1 hm 3 = 1 000 000 m 3 = 1 GL Cubic kilometre the volume of a cube of side length one kilometre (1000 m) equal to a teralitre 1 km 3 = 1 000 000 000 m 3 = 1 TL (810713.19 acre-feet; 0.239913 cubic miles)