SOLUTION: A sealed rectangular container 6 cm by 12 cm by 15 cm is sitting on its smallest face. It is filled with water up to 5 cm from the top. How many centimeters from the bottom will th

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Question 1041466: A sealed rectangular container 6 cm by 12 cm by 15 cm is sitting on its smallest face. It is filled with water up to 5 cm from the top. How many centimeters from the bottom will the water level reach if the container is placed on its largest face?

Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
A sealed rectangular container 6 cm by 12 cm by 15 cm is sitting on its smallest face.
It is filled with water up to 5 cm from the top. How many centimeters from the bottom will the water level reach
if the container is placed on its largest face?
~~~~~~~~~~~~~~~~~~~~~~~~~~ 

6*12*5 = 12*15*x.

Find x, which is the value under the question.

The equation expresses the Volume Conservation Law.


Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
If the rectangular container is "sitting on its smallest face", then it is standing on the 6cm x 12cm face. This means the height of the
container in this case is 15cm. "It is filled with water up to 5 cm from the top" means the height of the water inside is 10cm.
The volume of the water inside is therefore 10cm x 6cm x 12cm = 720 cu.cm.
If the container is now placed on its "largest face", the 12cm x 15cm face, the height of the container is now 6cm.
Let the height of the water inside be h.
==> 10cm x 6cm x 12cm = 720 cu.cm. = 12cm x 15cm x h ==> h = 4cm.
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