Question 1171508
Draw this.
the width will be 8-2x, where x is how much is cut in meters
the length will be 10-2x
the height will be x
the volume is x(80-36x+4x^2)=48
or 4x^3-36x^2+80x-48=0
or x^3-9x^2+20x-12=0
/1== -9== 20== -12
1---  -8---12----0 so the factors are (x-1)(x^2-8x+12)=(x-1)(x-6)(x-2)
the graph shows x=1,2,6, as well.  The last is too large and leads to negative values
1 meter on each side would give dimensions of 8*6*1.  And 2 meters on each side 4*6*2.  Both of these would give 48 m^2.
{{{graph(300,300,-10,10,-10,10,x^3-9x^2+20x-12)}}}