Posted by ann on Sunday, November 29, 2009 at 4:11pm.
You would assume the side of the square (base or top) to be x (feet).
The height can be expressed in terms of x and the volume. (V=L*W*H=x²*H)
You would then express the sum of the costs, C, made up of
1. the cost of the base = area of base * unit cost of base,
2. the cost of the sides and
3. the cost of the top.
Now differentiate C(x) with respect to x and equate C'(x)=0. Solve for x.
Related Questions
math - A rectangular box with a square base and top is to be made to contain ...
Pre Calculus - 1. A rectangular box has a square base, four sides, but no top. ...
Calc - A rectangular box, with a square base and open at the top is to be ...
geometry - A rectangular box with a square base contains 24 cubic feet. if the ...
Calculus - An open top box with a square base is to have a volume of exactly 500...
calculus - Find the dimensions of the largest rectangular box with a square base...
Calculus - dimensions of a box? - A rectangular box with a square bottom and a ...
calculus - a rectangular box with a square bottom is to have a volume of 1000 ...
calculus - Find the formula for the described function and state its domain. An ...
Calculus - A box is constructed out of two different types of metal. The metal ...
For Further Reading
