SOLUTION: A container with a square base of area of 16m and height of 9m was filled with sand .some of the sand was then transferred to a cube shaped container of side4m.find the height in m

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Question 956887: A container with a square base of area of 16m and height of 9m was filled with sand .some of the sand was then transferred to a cube shaped container of side4m.find the height in m of the remaining sand in the big container
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You start with V=16%2A9=144m%5E3 of sand in the container.
You mention that some of it was transferred.
I assume that it completely fills the 4m side cube.
The volume of the cube is,
V%5Bc%5D=4%2A4%2A4=64cm%5E3
So the amount of sand remaining is,
V%5Br%5D=144-64
V%5Br%5D=80m%5E3
The base of the container stays the same only the height changes.
16%2AH=80
H=80%2F16
H=5m