Answer:
8 inches
Step-by-step explanation:
Given: Dimension of rectangular container= [tex](10\times12\times 6)\ inches[/tex]
Water is filled up to a level 2 inches from the top.
As given that container is sitting on its largest face, then it is standing on [tex](10\times 12)\ inches[/tex]
Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.
∴ Height of water inside the container= [tex]6-2= 4 \ inches[/tex]
Now, finding the volume of water inside.
we know, Volume= [tex]length\times width\times height[/tex]
Volume= [tex]10\times 12\times 4= 480\ inches^{3}[/tex]
Next, if container is placed in its smallest face then it is standing on [tex](10\times 6)\ inches[/tex] and lets assume height to be "x"
Forming an equation now to express the volume conservation law.
⇒ [tex]480\ inches^{3} = 10\times 6\times x[/tex]
⇒[tex]480= 60x[/tex]
dividing both side by 60
⇒[tex]x= \frac{480}{60}[/tex]
∴ x= 8 inches
Hence, 8 inches from the bottom will the water level reach if the container is placed on its smallest face
