Optimization. Need help.
a box with a square base and open top must have a volume of 32000 cm^3. Find the dimensions of the box that minimize the amount of material used.

Question

Optimization.  Need help.
a box with a square base and open top must have a volume of 32000 cm^3. Find the dimensions of the box that minimize the amount of material used.

therealmeeeee · Answer

The maximum volume will be achieved in a cubic box so the height and width must then be equal. Maximising the volume will also minimise the material needed to get that particular volume.

32000 = x^3
x = 31.75cm
Width of square base = 31.75cm
Height of box = 31.75cm

therealmeeeee · Answer

do this help

therealmeeeee · Answer

do this help???????????????????????????????????????????????

directrix · Answer

@Venomblast Go to the page at this link and scroll down to the second problem which appears to be identical to the one you have posted. All of the steps are explained and answers are supported by the work. Note that the answers given above are incorrect. http://www.math.wvu.edu/~maclarke/Math153_154/Calc1/Notes/Section4_5.pdf

venomblast · Answer

Im trying to figure it out

venomblast · Answer

that not the answer..