SOLUTION: A solid metal cube of side 6 inches is placed in a rectangular tank whose length, width, and height are 1, 2, and 3 feet. What is the volume, in cubic units, of water that the tank

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A solid metal cube of side 6 inches is placed in a rectangular tank whose length, width, and height are 1, 2, and 3 feet. What is the volume, in cubic units, of water that the tank      Log On

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Question 222417: A solid metal cube of side 6 inches is placed in a rectangular tank whose length, width, and height are 1, 2, and 3 feet. What is the volume, in cubic units, of water that the tank can now hold?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, note that 12 in = 1 ft. So the side of the cube is 1%2F2 ft.

Let's find the volume of the cube: V=s%5E3=%281%2F2%29%5E3=1%2F8. So the volume of the cube is 1%2F8 of a cubic foot.

Now find the volume of the tank: V=LWH=1%2A2%2A3=6. So the tank is 6 cubic feet.


Now subtract the volume of the cube from the volume of the tank: 6-1%2F8=48%2F8-1%2F8=47%2F8=5.875.


So the tank can now hold 5.875 cubic feet of water.