Question 73596

Volume(V) of box equals Length(L) times Width(W) times Height(H) or
V=LWH

Area(A) of the bottom of the box equals Length(L) times Width(W)or
A=LW
so
V=AH={{{(x^2+5x+6)(x+5)}}}
Note that {{{x^2+5x+6=(x+3)(x+2)}}}  So now we have

{{{V=AH=LWH=(x+3)(x+2)(x+5)}}} Now one of these terms represents the Length; one represents the Width and one represents the Height.  Since we are not told, you can take your pick.  I choose:

{{{A=LW=(x+3)(x+5)}}} or
{{{A=x^2+8x+15}}}---------------------------one possible answer 



Hope this helps----ptaylor