Question 821135
The width of a box is 200 cm less than the length.
Change 200 cm to 2 meter
W = L-2
:
 THe height is 100 cm less than the length.
Change 100 cm to 1 meter
H = L-1
:
 The volume of the box is 20 m^3.
L * W * H = 20
:
 Write a polynomial function to describe the volume.
Replace W and H
f(L) = L * (L-2) * (L-1)
f(L) = L(L^2 - 3L + 2) 
f(L) = L^3 - 3L^2 + 2L
:
 Find the dimensions of the box.
L^3 - 3L^2 + 2L = 20
L^3 - 3L^2 + 2L - 20 = 0
Graphically
{{{ graph( 300, 200, -6, 10, -50, 50, x^3-3x^2+2x-20) }}}
L = 3.84 m (384cm), you can find W and H