Michael J. answered • 11/14/17

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Effective High School STEM Tutor & CUNY Math Peer Leader

The volume you want is

V = x(10 - 2x)(20 - 2x)

V = x(200 - 60x + 4x

^{2})V = 200x - 60x

^{2}+ 4x^{3}where x is the size of the length of square corners being cut

Set the volume expression equal to 96. As a result, you will obtain the cubic equation.

**4x**

^{3}- 60x + 200x - 96 = 0Solve for x from this cubic equation.