Question 342277
A box with an open top is to be constructed from a rectangular piece of cardboard
 with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each
 corner and then folding up the sides as in the figure. 
Express the volume V of the box as a function of x.
:
Let x = side of the square
then the box dimensions (Length,Width,Height) will be:
(18-2x) by (30-2x) by x
Vol = (18-2x)*(30-2x)*x
V = (540 - 36x - 60x + 4x^2)* x
The volume as a function of x
V(x) = 4x^3 - 96x^2 + 540x