SOLUTION: A rectangular box is to have a square base and a volume of 60 ft3. The material for the base costs 40¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top c

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Question 708794: A rectangular box is to have a square base and a volume of 60 ft3. The material for the base costs 40¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 30¢/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)= ?

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
How high is it? h = height
x^2h=60


AREA OF SIDES
==
AREA OF BOTTOM

AREA OF TOP


COST OF THE BOX = f(x)
Uses the given prices.

Simplification,

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