Question 330689
<font face="Garamond" size="+2">


You cannot make a cube stacking exactly 12,000 cubes.  In order for a number of cubes to be stacked together to form a larger cube, you would have to start with a number of smaller cubes such that the number is a perfect cube, such as:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2^3\ =\ 8]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3^3\ =\ 27]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cdot]
*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cdot]
*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cdot]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 22^3\ =\ 10648]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 23^3\ =\ 12167]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
</font>