|
In arithmetic and algebra, the cube of a number is its third power: the result of the number multiplied by itself twice: :. It is also the number multiplied by its square: :. This is also the volume formula for a geometric cube with sides of length , giving rise to the name. The inverse operation of finding a number whose cube is is called extracting the cube root of . It determines the side of the cube of a given volume. It is also raised to the one-third power. Both cube and cube root are odd functions: :. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or . ==In integers== A cube number, or a perfect cube, or sometimes just a cube, is a number which is the cube of an integer. The positive perfect cubes up to 603 are : Geometrically speaking, a positive number is a perfect cube if and only if one can arrange solid unit cubes into a larger, solid cube. For example, 27 small cubes can be arranged into one larger one with the appearance of a Rubik's Cube, since 3 × 3 × 3 = 27. The difference between the cubes of consecutive integers can be expressed as follows: :. or :. There is no minimum perfect cube, since the cube of a negative integer is negative. For example, (−4) × (−4) × (−4) = −64. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cube (algebra)」の詳細全文を読む スポンサード リンク
|