Question #f68d0

1 Answer
Jun 28, 2017

#7.5# centimeters

Explanation:

Concepts
Volume regarding 3-dimensional quantity of an enclosed structure; for rectangular prisms like the tanks mentioned here, the formula is #lxxwxxh# -- "length times width times height"

Information
Container A is filled to the brim and its content have a volume of #10xx6xx5=10xx30=300# cubic centimeters.
So we also have #300# cubic centimeters of water.

Container B is empty and its contents will have a volume of #4xx10xxh# (#h# being the height of the water after A is emptied into it)

Steps
To find how high the water level will be in Container B when poured from Container A, we need to set their volumes to be equal (the actual volume of B is negligible, we don't need it for this problem).
So:
#10xx6xx5=300=4xx10xxh#
or #300=4xx10xxh=40xxh#
to get #h# divide: #300/40=7.5#

So the height of the water in Container B will be #7.5# centimeters high.