- published: 31 Dec 2015
- views: 56529
In arithmetic and algebra, the cube of a number n 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 n, giving rise to the name. 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.
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 (x + 1)3.
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 (sequence A000578 in OEIS):
Geometrically speaking, a positive number m is a perfect cube if and only if one can arrange m 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.
Define your cube
And all you need in it
The items in your hoard
The dreams you can't afford
Define your cube your long-term strategy
The actors your prepare
To join you in your solitaire
Your borderline
Your grounding
Do you want me in or do you want me out?
Your battle zone
Your territory
Do you want me in or do you want me out?
Frames to protect and frames to present
We keep on rotating through these golden cages
Frames to protect and frames to present
We keep on rotating through these golden cages
Under your sway demands are growing vast
Repletion takes you on
But this fight can't be won
Under your sway
"What" is turned to "how"
What you think is your intent
Is shaped by your environment
Your peer group
Your hedonism
Do you want me in or do you want me out?
Your waiting room
Your travelling circus
Do you want me in or do you want me out?
Frames to protect and frames to present
We keep on rotating through these golden cages
Frames to protect and frames to present
We keep on rotating through these golden cages
Now that vacuity has taken over
Now that we're lured into completely open space
Now that we are crawling back into our cubes
Now that we are crawling back into our cubes
Now that vacuity has taken over
Now that we're lured into completely open space
Now that we are crawling back into our cubes
Now that we are crawling back into our cubes
Do you want me in or do you want me out?
Do you want me in or do you want me out?
Do you want me in or do you want me out?
Do you want me in?
Frames to protect and frames to present
We keep on rotating through these golden cages
Frames to protect and frames to present
We keep on rotating through these golden cages
We keep on rotating