SOLUTION: A box with a square base and no top has a volume of 800 cubic cm. If the material for the 4 sides costs 6 cents per square cm, and the material for the base costs 10 cents per squa

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Question 1167047: A box with a square base and no top has a volume of 800 cubic cm. If the material for the 4 sides costs 6 cents per square cm, and the material for the base costs 10 cents per square cm, express the total cost of the material as a function of x, where x is the length of one side of the square base.
Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
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If x is the length of one side of the square base,

then the base area is  x%5E2  square centimeters and the height is  800%2Fx%5E2 centimeters.


Then the area of the lateral surface is  %284x%29%2A%28800%2Fx%5E2%29 = 3200%2Fx square centimeters.


Now the total cost of the material is  6%2A%283200%2Fx%29 + 10%2Ax%5E2 = 19200%2Fx+%2B+10x%5E2  cents.      ANSWER