SOLUTION: The length, width and height of a cubical shipping container are all decresed by 1.0 ft, thereby decresing the volumme of the cube by 37 ft3(feet-cubed) What was the volume of the

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Question 712790: The length, width and height of a cubical shipping container are all decresed by 1.0 ft, thereby decresing the volumme of the cube by 37 ft3(feet-cubed) What was the volume of the original conainer?(recall: volume of cube with a side length x=x3) Define the variable, write a quadratic equation and solve by factoring.
Even if I could get help as far as what my quadratic equation should look like, I can factor the rest.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Original cube, x^3 volume.
Decreased cube, (x-1)^3 volume.

The difference in volume is 37 ft^3.
x%5E3-%28x-1%29%5E3=37, so solve for x using the cubic equation, which needs a few steps of algebra arithmetic.

Any quadratic must wait until some binomial factor can be found from the cubic equation.