Michael J. answered • 11/05/17

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Effective High School STEM Tutor & CUNY Math Peer Leader

length of box = 10 - 2x

width of box = 16 - 2x

height of box = x

V = x(10 - 2x)(16 - 2x)

V = x(160 - 52x + 4x

^{2})V = 160x - 52x

^{2 }+ 4x^{3}Set this volume equal to 137.5. This will result in the cubic equation

4x

^{3}- 52x^{2}+ 160x - 137.5 = 0You can use a graphing calculator to find the zeros.