Answer
1) V=180feet$^{3}$
2) 2 feet by 6 feet by 15 feet
Work Step by Step
1)
Volume = (length)*(width)*(height)
Therefore the volume is 180 feet$^{3}$
2)
x(x-4)(x+9)=180
$x^{3}+5x^{2}-36x=180$
$x^{3}+5x^{2}-36x-180=0$
$x^{2}(x+5)-36(x+5)=0$
$(x^{2}-36)(x+5)=0$
$(x+5)(x+6)(x-6)=0$
x+5=0; x=-5
x+6=0; x=-6
x-6=0; x=6
x=6 is the only positive answer
Therefore, the box would be 2 feet by 6 feet by 15 feet.
