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The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as (−n) 3 ...
One million cubic inches would be the volume of a small room 8 + 1 ⁄ 3 feet long by 8 + 1 ⁄ 3 feet wide by 8 + 1 ⁄ 3 feet high. Mass: A million cubic millimetres (small droplets) of water would have a volume of one litre and a mass of one kilogram. A million millilitres or cubic centimetres (one cubic metre) of water has a mass of a ...
The multiplication of two odd numbers is always odd, but the multiplication of an even number with any number is always even. An odd number raised to a power is always odd and an even number raised to power is always even, so for example x n has the same parity as x. Consider any primitive solution (x, y, z) to the equation x n + y n = z n.
172 is a part of a near-miss for being a counterexample to Fermat's last theorem, as 135 3 + 138 3 = 172 3 − 1. This is only the third near-miss of this form, two cubes adding to one less than a third cube. [1] It is also a "thickened cube number", half an odd cube (7 3 = 343) rounded up to the next integer. [2]
A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. This shows that the square of the n th triangular number is equal to the sum of the first n cube numbers. Also, the square of the n th triangular number is the same as the sum of the cubes of the integers 1 to n.
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This is an accepted version of this page This is the latest accepted revision, reviewed on 24 December 2024. See also: Orders of magnitude (numbers) and Long and short scales Natural number 1000000000 List of numbers Integers ← 10 0 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 Cardinal One billion (short scale) One thousand million, or one milliard (long scale) Ordinal One billionth (short ...
The popularity of the Cube is reflected in its strong sales—in 2022, 5.75 million units of the official Rubik’s Cube were sold globally and that figure was up 14% year-to-date, according to ...