This is a little tough question :
A rectangular storage container with an open top is to have a volume of 20 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 4 dollars per square meter. Find the cost of materials for the cheapest such container.

Question

This is a little tough question :
A rectangular storage container with an open top is to have a volume of 20 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 4 dollars per square meter. Find the cost of materials for the cheapest such container.

anonymous · Answer

i got $152.144

anonymous · Answer

The answer seems to be $204.52 rounded up.  Refer to the attachment, a solution using Mathematica for the calculations.

anonymous · Answer

Thank you!!

anonymous · Answer

Thank you for the medal.

The solution posted above was the second version.  The first solution version was deleted by mistake.  It had more comments than the second.

These Mathematica solutions with elaborate comments takes some time to produce, at least it does for me.