Question 1110798: A tank in the shape of a rectangular prism has dimensions 2x,5x+3, and 3x+1 metres, a metal block is dropped into the tank and the tank is then filled with water. The volume of water is 22x3+18x2+3x cube metres. Determine the dimensions of the metal block in terms of x
Answer by ikleyn(52810)   (Show Source):
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A tank in the shape of a rectangular prism has dimensions 2x,5x+3, and 3x+1 metres, a metal block is dropped
into the tank and the tank is then filled with water. The volume of water is 22x^3+18x^2+3x cube metres.
Determine the dimensions of the metal block in terms of x
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The problem is posed INCORRECTLY, and the dimensions of the metal block CAN NOT be determined from the given data.
Only the volume of the metal block can be determined, and it is equal to
2x*(5x+3)*(3x+1) - (22x^3 + 18x^2 + 3x) cubic meters.
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