A box manufacturer wants to produce an open box for which the volume is 2 cubic meters and the length is twice the width. What actual dimensions of he box will require the least amount of material?
Work:
V = 2m^3
2m^3 = (w)*(2w)*(h)
Possible dimensions:
length width height surface area
2 1 1 8 units^2
1 1/2 4 12.5 units^2
1/2 1/4 16 24 1/8 units^2