A rectangular box is to have a square base and a volume of 5 ft3 . The material for the base costs 10 cents/ft2 , the material for the top costs 30 cents/ft2 , and the material for the sides costs 50 cents/ft2 . If x denotes the length of one side of the base, find a function in the variable x giving the total cost of materials in cents.

Step-by-step explanation:

Let denote side of the square base.

Area base=Area top:

#Area of base and top is each

Given the volume as 5 cubic feet and side of base as x, height is:

Substitute the given prices  to give the function for cost of material.

Top=30cents/ft, Base=10cents/ft and sides =50cents/ft:

The function for the cost of material is expressed as:

5050

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step-by-step explanation: