 y=x³, for integer values of 1≤x≤25. In arithmetic and algebra, the cube of a number n is its third power — the result of multiplying it by itself three times: Image File history File links This page meets Wikipedias criteria for speedy deletion. ...
Image File history File links This page meets Wikipedias criteria for speedy deletion. ...
Variations of Rubiks Cubes (from left to right: Rubiks Revenge, Rubiks Cube, Professors Cube, & Pocket Cube) Rubiks Cube (commonly misspelled rubix, rubicks or rubics cube) is a mechanical puzzle invented in 1974[1] by the Hungarian sculptor and professor of architecture Ernő Rubik. ...
Arithmetic tables for children, Lausanne, 1835 Arithmetic or arithmetics (from the Greek word αÏιθμός = number) is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple daily counting to advanced science and business calculations. ...
Algebra is a branch of mathematics concerning the study of structure, relation and quantity. ...
Exponentiation is a mathematical operation, written an, involving two numbers, the base a and the exponent n. ...
- n3 = n × n × n.
This is also the volume formula for a geometric cube with sides of length n, giving rise to the name. The volume of a solid object is the three-dimensional concept of how much space it occupies, often quantified numerically. ...
Three dimensions A cube (or hexahedron) is a Platonic solid composed of six square faces, with three meeting at each vertex. ...
A perfect cube (also called a cube number, or sometimes just a cube) is a number which is the cube of an integer. The integers are commonly denoted by the above symbol. ...
The sequence of non-negative perfect cubes starts (sequence A000578 in OEIS): The On-Line Encyclopedia of Integer Sequences (OEIS) is an extensive searchable database of integer sequences, freely available on the Web. ...
- 0, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, 8000, 9261, 10648, 12167, 13824, 15625, 17576, 19683, 21952, 24389, 27000, 29791, 32768, 35937, 39304, 42875, 46656, 50653, 54872, 59319, 64000, 68921, 74088, 79507, 85184, 91125, 97736, 103823, 110592, 117649, 125000, 132651, 140608, 148877, 157464, 166375, 175616, 185193, 195112, 205379, 216000, 226981, 238328...
There is no smallest perfect cube, since negative integers are included. For example, (−4) × (−4) × (−4) = −64. For any n, (-n)3 = -(n3).
Unlike perfect squares, perfect cubes do not have a small number of possibilities for the last two digits. Except for cubes divisible by 5, where only 25 and 75 can be the last two digits, any pair of digits with the last digit odd can be a perfect cube. With even cubes, there is considerable restriction, for only 00, o2, e4, o6 and e8 can be the last two digits of a perfect cube (where o stands for any odd digit and e for any even digit). Some cube numbers are also square numbers, for example 64 is a square number (8 × 8) and a cube number (4 × 4 × 4); this happens if and only if the number is a perfect sixth power. In mathematics, a square number, sometimes also called a perfect square, is an integer that can be written as the square of some other integer. ...
In mathematics, the term even is used in several senses: an integer is called even if it is divisible by two; see even and odd numbers a function f defined on the real numbers is called even if f(x) = f(−x) for all x; see even and odd functions...
Odd has several meanings. ...
In mathematics, a square number, sometimes also called a perfect square, is an integer that can be written as the square of some other integer. ...
It is, however, easy to show that most numbers are not perfect cubes because all perfect cubes must have digital root 1, 8 or 9. Moreover, the digital root of any number's cube can be determined by the remainder the number gives when divided by 3: It has been suggested that Repeated digital sum be merged into this article or section. ...
- If the number is divisible by 3, its cube has digital root 9;
- If it has a remainder of 1 when divided by 3, its cube has digital root 1;
- If it has a remainder of 2 when divided by 3, its cube has digital root 8.
The inverse operation 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. In mathematics, an inverse function is in simple terms a function which does the reverse of a given function. ...
Plot of y = In mathematics, the cube root of a number, denoted or x1/3, is the number a such that a3 = x. ...
Exponentiation is a mathematical operation, written an, involving two numbers, the base a and the exponent n. ...
Every positive integer can be written as the sum of nine cubes or fewer; see Waring's problem. This upper limit of nine cubes cannot be reduced because, for example, 23 cannot be written as the sum of fewer than nine cubes: In number theory, Warings problem, proposed in 1770 by Edward Waring, asks whether for every natural number k there exists an associated positive integer s such that every natural number is the sum of at most s kth powers of natural numbers. ...
- 23 = 23 + 23 + 13 + 13 + 13 + 13 + 13 + 13 + 13
The number m is a perfect cube if and only if one can arrange m points in a cube, for example 3 × 3 × 3 = 27.
The sum of the first n perfect cubes is the nth triangle number squared: A triangular number is a number that can be arranged in the shape of an equilateral triangle. ...
 For example, the sum of the first five perfect cubes, 13 + 23 + 33 + 43 + 53, is equal to the 5th triangular number squared, namely 152 which is 225.
History Determination of the Cube of large numbers was very common in many ancient civilizations. Aryabhatta, the ancient Indian mathematician in his famous work Aryabhatiya explains about the mathematical meaning of cube (Aryabhatiya, 2-3), as "the continuous product of three equals as also the (rectangular) solid having 12 equal edges are called cube". Similar definitions can be seen in ancient texts such as Brahmasphuta Siddhanta (XVIII. 42) , Ganitha sara sangraha (II. 43) and Siddhanta sekhara (XIII. 4). It is interesting that in modern mathematics too, the term "Cube" stands for two mathematical meanings just like in Sanskrit , where the word Ghhana means a factor of power with the number, multiplied by itself three times and also a cubical structure. Aryabhata (आर्यभट) (Āryabhaṭa) is the first of the great astronomers of the classical age of India. ...
Āryabhatīya, an astronomical treastise, is the Magnum Opus and only extant work of the 5th century Indian Mathematician, Aryabhatta. ...
Āryabhatīya, an astronomical treastise, is the Magnum Opus and only extant work of the 5th century Indian Mathematician, Aryabhatta. ...
Sanskrit ( , for short ) is a classical language of India, a liturgical language of Hinduism, Buddhism, and Jainism, and one of the 23 official languages of India. ...
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