Answer:
A. 3 cm
Step-by-step explanation:
The smallest face has the sides 4 cm and 8 cm. If the water is 4 cm from its top, then the height of the water is [tex]16-4=12[/tex] cm and the volume of the water is
[tex]V_{water}=4\cdot 8\cdot 12=384\ cm^3[/tex]
The largest face has the sides 8 cm and 16 cm. If the container is placed on its largest face, then the volume of the water is
[tex]V_{water}=8\cdot 16\cdot h \ cm^3,[/tex]
where h is the height of the water.
Equate volumes of the water:
[tex]8\cdot 16\cdot h=384\\ \\h=\dfrac{384}{8\cdot 16}=3\ cm[/tex]
Therefore, the water is 3 cm from the bottom.
