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Tank A measuring 40 cm by 20 cm by 80 cm,is filled with water to the brim.Tank B is an empty rectangular container with a base area of 60 cm by 40 cm.What is the volume of water that must be poured into Tank B from Tank A such that they have the same height in the end?

 Jun 24, 2014

Best Answer 

 #2
avatar+26397 
+6

Tank A measuring 40 cm by 20 cm by 80 cm,is filled with water to the brim.Tank B is an empty rectangular container with a base area of 60 cm by 40 cm.What is the volume of water that must be poured into Tank B from Tank A such that they have the same height in the end?

20cm40cm(80cmh)=40cm60cmh20cm(80cmh)=60cmh|:20cm80cmh=3h4h=80cmh=20cm

What is the volume of water that must be poured into Tank B from Tank A such that they have the same height in the end?

V=40cm60cmh=406020cm3=48000cm3

 Jun 24, 2014
 #1
avatar+130477 
+5

So, assuming that 80 cm is the height of the first tank, the volume of water in the first tank =

40*20*80 = 64000cm^3

Note that the volume of water remains constant and is divided between the two tanks thusly:

40*20*h + 60*40*h = 64000   

800h + 2400h = 64000

3200h = 64000

 h = 20

So, both tanks would be filled to a height of 20cm

And the volume of water that would be poured from Tank A = 40*20*(80-20) =

48000cm^3

 

 Jun 24, 2014
 #2
avatar+26397 
+6
Best Answer

Tank A measuring 40 cm by 20 cm by 80 cm,is filled with water to the brim.Tank B is an empty rectangular container with a base area of 60 cm by 40 cm.What is the volume of water that must be poured into Tank B from Tank A such that they have the same height in the end?

20cm40cm(80cmh)=40cm60cmh20cm(80cmh)=60cmh|:20cm80cmh=3h4h=80cmh=20cm

What is the volume of water that must be poured into Tank B from Tank A such that they have the same height in the end?

V=40cm60cmh=406020cm3=48000cm3

heureka Jun 24, 2014

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