SOLUTION: A swimming pool of length 5cm,width 4cm and height(xcm)is 4/5 full of water.After drawing 190 cubes of water it is just 1/6 full.Find the volume and height of the swimming pool.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A swimming pool of length 5cm,width 4cm and height(xcm)is 4/5 full of water.After drawing 190 cubes of water it is just 1/6 full.Find the volume and height of the swimming pool.      Log On

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Question 1042153: A swimming pool of length 5cm,width 4cm and height(xcm)is 4/5 full of water.After drawing 190 cubes of water it is just 1/6 full.Find the volume and height of the swimming pool.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +V+ = the volume of the pool
when filled to the top
+V+=+5%2A4%2Ax+
+V+=+20x+
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The pool has +%284%2F5%29%2AV+ volume of water
Then you are told that:
+%284%2F5%29%2AV+-+190+=+%281%2F6%29%2AV+
Multiply both sides by +30+
+24V+-+5700+=+5V+
+19V+=+5700+
+V+=+300+
and
+V+=+20x+
+20x+=+300+
+x+=+15+
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The height is 15 and the volume is 300 cubes
( are you sure the dimensions are in centimeters?
That would make it a very tiny pool )