Çözüldü Square Prism - Water and Cube Volume

A proposed SAT question:

A transparent box in the shape of a square prism has base edge lengths of 7 units and a height of 3 units. There are 35 identical cubes, all of which have a unit edge length. These cubes are stacked to be side-by-side and glued inside, starting from the base with 25 cubes in the first layer, then 9 cubes on them in the second layer, and finally one cube on top of them in the third layer. Then, a quantity of water is poured into the container and the lid is closed. When the base of this container is parallel to the ground, its height from the bottom of the water is 2 units. If the cube is inverted upside down so that the base remains parallel to the ground, what will be its height from the bottom of the water in units?

A) 3 / 2
B) 5 / 3
C) 6 / 5
D) 7 / 5
E) 8 / 3

Water Volume = 7·7·2 - (25 + 9) = 64 cubic units
Area·Height = Volume
Height after inversion: h units
(7·7 - 1)·1 + (7·7 - 9)·(h - 1) = 64 ⇒ h = 7 / 5 units.

Original Turkish Version of the Illustrated Problem:

https://i72.servimg.com/u/f72/19/97/10/39/kzpler15.png
https://alonot.com/tyt-matematik-calisma-sorulari/
(The last question with no answer.)

Note: The solution with a very detailed analysis by the AI at www.mathful.com is attached.