Question 878964
Surface Area: SA = 6s^2


Volume: V = s^3


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"given that the area of a cube is twice it's volume" ---> {{{SA = 2*V}}} ---> {{{6s^2 = 2*s^3}}}


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{{{6s^2 = 2*s^3}}}


{{{0 = 2*s^3 - 6s^2}}}


{{{2*s^3 - 6s^2 = 0}}}


{{{2s^2(s - 3) = 0}}}


{{{2s^2 = 0}}} or {{{s - 3 = 0}}}


{{{s = 0}}} or {{{s = 3}}}


Ignore {{{s = 0}}} as it's a trivial solution. 


The only practical solution is {{{s = 3}}}


So the cube has a side length of 3 meters.