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Finding an X value for a box?

Calculus
Tutor: None Selected Time limit: 1 Day

A box with a square base and a volume of 1000 cubic inches is to be constructed. The material for the top and bottom of the box costs $4 per 100 square inches, and the material for the sides costs $2.25 per 100 square inches. If the side of the base must be at least 6 inches long, for what value of x will the cost of the box be $85?

Mar 17th, 2015

2*x^2*4/100+4*1000/x^2*x*2.25/100=85 

8*x^2+9000/x = 8500 

 x = 32.05 

Mar 17th, 2015

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