SOLUTION: A rectangular cistern with base 4 m by 5 m has water to a depth of 6 m in it. A solid metal cube with sides 3 m is placed into the water. To what level, in m, does this raise the w

Algebra ->  Surface-area -> SOLUTION: A rectangular cistern with base 4 m by 5 m has water to a depth of 6 m in it. A solid metal cube with sides 3 m is placed into the water. To what level, in m, does this raise the w      Log On


   



Question 1098518: A rectangular cistern with base 4 m by 5 m has water to a depth of 6 m in it. A solid metal cube with sides 3 m is placed into the water. To what level, in m, does this raise the water in the cistern?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let H be the new level ow water.


Then you have this equation


4%2A5%2AH+-+3%5E3 = 4*5*6    ====>


20H = 120 + 27 = 147  ====>  H = 147/20 = 7.35 m.

Solved.


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For many other solved similar problems of this type see the lesson
    - Water level rise in a tank after submerging bodies
in this site.