SOLUTION: would you please solve the following problem? Plastic Box A has a square base of area 36 cm� and a height of 8 cm. It is completely filled with juice. Plastic Box B is empty and

Question 1057115: would you please solve the following problem?
Plastic Box A has a square base of area 36 cm� and a height of 8 cm. It is completely filled with juice. Plastic Box B is empty and has dimensions 5 cm by 3 cm by 12 cm. Juice from Box A is poured into Box B until it is filled to the very top. Find the height of the new juice level in Box A.
-Thank you.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Volume of A:
Volume of B:
When A is poured into B, that "subtracts" from A. So are remaining in A. If we divide that volume by the area of the base, we'll get the height:

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Ans: The juice will have a height of 3cm in box A after filling box B.
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NOTE: this problem can also be easily solved using a proportion. The volume remaining is of the original volume so the height would be .
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