SOLUTION: Hi a container measures 18cm by 22cm by 30cm.it is half filled with water. Water from a jug is then poured into the container, increasing the volume in thd container by 1/3 of it

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Question 1101000: Hi
a container measures 18cm by 22cm by 30cm.it is half filled with water. Water from a jug is then poured into the container, increasing the volume in thd container by 1/3 of its original volume.
How much more water is neede to fill the container completely.
After the water from the jug is added water flows from a tap at a rate of 660cm^3 per minute into the container. How long will it take to fill up the container to the brim.
thanks
Found 3 solutions by ankor@dixie-net.com, Shin123, KMST:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a container measures 18cm by 22cm by 30cm.it is half filled with water.
1%2F2 * 18 * 22 * 30 = 5940 cu/cm of water
:
Water from a jug is then poured into the container, increasing the volume in the container by 1/3 of its original volume.
5940 + 1%2F3(5940) = 7920 cu/cm
:
How much more water is needed to fill the container completely.
(18*22*30) - 7920 = 3960 cu/cm more water required
:
After the water from the jug is added water flows from a tap at a rate of 660cm^3 per minute into the container.
How long will it take to fill up the container to the brim.
3960%2F660 = 6 minutes

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
3960 ml,6 min

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
THE MENTAL MATH WAY (no calculator needed):
You start with 1%2F2 of a container full of water,
and then add 1%2F3 of that to have
1%2F2%2B%281%2F3%29%281%2F2%29=2%2F3 .
To get a full container, you need to fill the other 1%2F3 .
The volume to add in cubic cm (cm%5E3 or cc as a nurse would say) is
%281%2F3%29%2A18%2A22%2A30=18%2A22%2A10=highlight%2836%2A11%2A10=3960%29 .
To fill the container completely, an extra highlight%283960cm%5E3%29 or highlight%283960cc%29 of water is needed.
Adding the water at 660cm%5E3%22%2F+minute%22 ,
it will take
36%2A11%2A10cc%2F%28%28660cc%2F%221+minute%22%29%29%22=%2236%2A11%2A10cc%281minute%2F%22660+cc%22%29=36%2A11%2A10%2F%286%2A11%2A10%29minutes=highlight%286+minutes%29 .