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.
Here's what I got...There is 2.4 cubic cm of water total. reducing area by 1 sq cm each cube and then find new depth until water will flow over cubes in place, at which point you disperse remaing water over cubes in place.
Cube 1 -- 0.48 cm
Cube 2 -- 0.60 cm
Cube 3 -- 0.80 cm
Cube 4 -- 1.07 cm
Cube 5 -- 1.23 cm
Cube 6 -- 1.4 cm
Cube 7 -- 1.48 cm
Cube 8 -- 1.60 cm
Cube 9 -- 1.80 cm
Cubes 10,11,12 -- water overflows container
Solution
