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The base of a rectangular tank is five feet by six feet, and the tank is three feet tall. The water in the tank is currently nine inches deep. 

 

How much water is in the tank?

The water level will rise when a one-foot metal cube (denser than water) is placed on the bottom of the tank. By how much?

The water level will rise when a second one-foot metal cube is placed on the bottom of the tank, next to the first one. By how much?

Several one-foot metal cubes are placed on the bottom of the tank so that all the cubes are barely under the water. How deep is the water?

 Jul 27, 2021
 #1
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5 ' x 6 '   x   .75 '  = volume of water in ft3    (.75 ft is 9 inches)

 

the water will rise by 1 ft3     which will be    1 ft3  =  5' * 6' * x'       x = 1/30 ft = .4 inch

 

a second cube will raise the level by the same amount   .4 inch

 

adding all of those cubes raises the wate level to the top of the cubes    =  1 ft deep

 Jul 27, 2021

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