Question 47863
width = w
length = w + 7
lenght = 6(height) so: height = (w + 7)/6
Polynomial:
{{{w(w + 7)(w + 7)/6 = 120}}}
{{{(w^2 + 7w)(w + 7) = 720}}}
{{{w^3 + 14w^2 + 49w - 720 = 0}}}
Graph:
{{{graph(600,600,-20,20,-20,20,x^3+14x^2+49x-720,0)}}}
w = 5
width = w = 5 cm
length = w + 7 = 5 + 7 = 12 cm
height = (w + 7)/6 = (12)/6 = 2 cm