A rectangular box is to have a square base and a volume of 60 ft3. The material for the base costs 42¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 34¢/ft2. Let x denote the length of one side of the base. a) Find the area of each side of the box, in terms of x.   Top of the Box= One Side of the Box= Bottom of the Box =   b) Find a function in the variable x giving the cost (in dollars) of constructing the box.   f(x) =

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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A rectangular box is to have a square base and a volume of 60 ft3. The material for the base costs 42¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 34¢/ft2. Let x denote the length of one side of the base.

a) Find the area of each side of the box, in terms of x.
 
Top of the Box=

One Side of the Box=

Bottom of the Box =
 
b) Find a function in the variable x giving the cost (in dollars) of constructing the box.
 
f(x) =
 
 
 
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