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.
The height of the water level rise corresponding to the placement of each cube is furnished hereunder as follows:
CUBES WATER LEVEL RISE
----------- --------------------------------
1 0.48
2 0.60
3 0.80
.
4 1.06
.
5 1.23
6 1.24
7 1.48
8 1.60
9 1.80
10 2.00 (overflow)
11 2.00 (overflow)
12 --- (no water)
Puzzle Answer
