Help!!!

Question

A rectangle piece of cardboard twice as long as wide is to be made into an open box by cutting 2 in. squares from each corner and bending up the sides. (a) Express the volume V of the box as a function of the width W of the piece of cardboard (b) find the domain of the function.

Thanks!

Answer 1

Length = 2W (inches)
Width = W (inches)
Height = 2 inches
V(W)=Length*Width*Height
=2W*W*2
=4W²
The minimum width of the box is 4 inches, which results in a box of zero volume.
Thus the domain of V(W) is [4,∞].

Answer 2

Thanks MathMate!

Answer 3

well i would find a factor of something by dividing numbers from 1 to 10 and figure it out by dividing it up