SOLUTION: A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs 40�/ft2, the material for the sides costs 10�/ft2, and the material for the top c

Question 840764: A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs 40�/ft2, the material for the sides costs 10�/ft2, and the material for the top costs 32�/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.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs 40�/ft2, the material for the sides costs 10�/ft2, and the material for the top costs 32�/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.
:
The height
h =
:
The base
.40x^2
The 4 sides
4(.10*x*) = 4(.10*) =
The top
.32x^2
Total cost
c(x) = .4x^2 + .32x^2 +
c(x) = .72x^2 +
:
:
This is one of those problems I am not 100% sure about, if I screwed it up,
would appreciate if you let me know. Where I screwed it up would be nice too.
email me: ankor@att.net
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