It is where you times a number by itself 3 times to get the answer. Here is an example: 1 x 1 x 1 = 1 1 - is a cube number 2 x 2 x 2 = 8 8 - is a cube number 3 x 3 x 3 = 27 27 - is a cube number 4 x 4 x 4 = 64 64 - is a cube number etc. etc. etc.
A cube number is one which is the cube of another number. Two cubed (2x2x2)=8, so 8 is a cubed number. 3 cubed is 27.
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A number cube can be either the result of a number being multiplied by itself three times or another term for what normal people call "dice."
A number cubed is found by multiplying that number by itself three times. For example, 3 cubed would be 3 x 3 x 3 or 27.