## Im stuck on finding function for cost of constructing box

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
Idontunderstand
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### Im stuck on finding function for cost of constructing box

I'm having trouble with this word problem if anyone can help me in detail with finding the function that would be great.
Thanks.

A rectangular box is to have a square base and a volume of 70 ft3. The material for the base costs 34¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 29¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
f(x) =

maggiemagnet
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### Re: Im stuck on finding function for cost of constructing bo

I'm having trouble with this word problem if anyone can help me in detail with finding the function that would be great.
Actually, this isn't that kind of a place. We work with you to find the solutions!
A rectangular box is to have a square base and a volume of 70 ft3. The material for the base costs 34¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 29¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
If x is one side of the base then what is the area of the base? If h is the height then what is the area of the four sides? What is the volume in terms of x and h? What is the volume as a number? So what equation can you make for the volume? (Solve this for h in terms of x.) What expression is the cost of the base? What expression is the cost of the sides? What expression is the total cost? (Plug in for h from the volume equation.) What expression is the total cost in terms just of x?