Question 241197
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V\ =\ lwh],


So:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x(x\ +\ 1)(x\ +\ 2)\ =\ 504]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^3\ +\ 3x^2\ +\ 2x\ -\ 504\ =\ 0]


Using the Rational Root Theorem


http://en.wikipedia.org/wiki/Rational_root_theorem


To determine the possible rational roots.  You can also use your graphing calculator to find a root of the equation.  You could also realize that x + 1 will probably be very close to the cube root of 504.  Use your calculator to find a numeric approximation of cube root of 504, then take the nearest integer as x + 1.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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