SOLUTION: a rectangular tank of 30*20*12 cm contains water to a depth of 6 cm. a metal cube of sides 10 cm is placed in tank with just one face resting on the bottom of the tank. find the vo
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-> SOLUTION: a rectangular tank of 30*20*12 cm contains water to a depth of 6 cm. a metal cube of sides 10 cm is placed in tank with just one face resting on the bottom of the tank. find the vo
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Question 937483: a rectangular tank of 30*20*12 cm contains water to a depth of 6 cm. a metal cube of sides 10 cm is placed in tank with just one face resting on the bottom of the tank. find the volume of water in liters, that must be poured in the tank so that the metal cube is just submerged in the water.
You can put this solution on YOUR website! to solve this problem, we must make some assumptions:
1) the height of the tank is the 12 cm dimension
2) the metal cube is already in the tank when the 6 cm water depth is measured
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to cover the cube with water we need another 4 cm of water depth:
10 - 6 = 4 cm
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additional volume of water needed to cover the cube:
v = 30*20*4
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but the cube will displace some of that water, so we only need:
v = 30*20*4 - 10*10*4
v = 2000 cu.cm
v = 2000 cu.cm * (1 liter/1000 cu.cm)
v = 2 liters
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answer:
add 2 liters of water to the tank
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