Let
x-------> the length side of the original cube
we have

Divide by
both sides

The system of equations is equal to
--------> equation 
--------> equation 
using a graphing tool
see the attached figure
we know that
the solution of the system of equations is the intersection both graphs
therefore
the solution is

therefore
<u>the answer is</u>

<u>Answer:</u>

<u>Step-by-step explanation:</u>
Equation of parabola with focus at (0,-4) and directrix is
.
We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.
The parabola is opening downwards.
Let any point on parabola is (x,y).
Distance from focus(0,-4) to (x,y) = 








You have to add the square root then do the division 54 is the answer