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

Hans007  Oct 22, 2017
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Volume of the cube  = 3 x 3 x 3 =  27m^3

Volume of the cistern =  4 X 5 x 6  =  120m^3

 

Total volume of the cistern and added  cube =  147m^3

 

So.....to find the water height, h,  with the cube added, we can solve this

 

4 * 5  * h   =  147

 

20 * h  =  147     divide both sides by 20

 

h =  7.35 m 

 

 

cool cool cool

CPhill  Oct 22, 2017

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