There is a rectangular tin 2cm by 3cm at the base, 2cm deep and open at the top.
It is filled with water to a depth of .4cm.
Twelve 1cm steel cubes are placed in the tin one by one. The first six form a single layer at the bottom. The next six form a second layer.

To what height does the water level rise after the placement of each cube?
Assume the cubes fit together tightly, leaving no spaces.

(In reply to This should be the question by Jils)

"I misread this question at first at started calculating it for steel spheres 1cm in diameter. A much more interesting problem.....and difficult - I gave up!!"

 

I submitted a related problem along these lines.  I think it will be up in around 2 months.

Posted by Jer on 2006-05-16 12:30:02