<PRE><B>Question 644110</B>
A box with an open top is constructed from a rectangular piece of cardboard
 which is initially 20 inches long and 15 inches wide.
 The box will be formed by removing squares of length x inches from each
 corner and then folding up the sides (as shown below). 
the volume (V) of the box as a function of x.
:
Removing the squares will give us an open box with the dimensions:
(20-2x) by (15-2x) by x
Vol = L * W * H
FOIL the length and width
V(x) = (300 - 40x - 30x + 4x^2)*x
which is:
V(x) = 4x^3 - 70x^2 + 300x; the volume as a function of x</PRE>