You have allowed yourself to get side-tracked by a non-issue. It's not just an analogy, it's a perfectly good model of 3rd powering that doesn't happen to use a cube. This is what Common Core will lead to, a hardening of the mental arteries such as you're experiencing now. By adulthood, it may be irreversible.
On Sun, Jul 14, 2013 at 8:54 AM, Robert Hansen <firstname.lastname@example.org> wrote:
> > On Jul 14, 2013, at 11:39 AM, Robert Hansen <email@example.com> wrote: > > But can't you put a tetrahedron in there? > Why not make it solid? > > > In any event, my point was only that it seems somewhat a contrived analogy > of "cubing" when one version (the cube) is solid throughout (the volume is > cubed) while the other version (the tetrahedron is not. > > Bob Hansen >