Difference between revisions of "2000 AMC 8 Problems/Problem 22"
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Revision as of 20:55, 28 July 2011
A cube has edge length 
. Suppose that we glue a cube of edge length 
on top of the big cube so that one of its faces rests entirely on the top face of the larger cube. The percent increase in the surface area (sides, top, and bottom) from the original cube to the new solid formed is closest to
![[asy] draw((0,0)--(2,0)--(3,1)--(3,3)--(2,2)--(0,2)--cycle); draw((2,0)--(2,2)); draw((0,2)--(1,3)); draw((1,7/3)--(1,10/3)--(2,10/3)--(2,7/3)--cycle); draw((2,7/3)--(5/2,17/6)--(5/2,23/6)--(3/2,23/6)--(1,10/3)); draw((2,10/3)--(5/2,23/6)); draw((3,3)--(5/2,3));[/asy]](http://latex.artofproblemsolving.com/4/c/1/4c1daa4799268f363fcefd996e79452fd6346cfc.png)
