SOLUTION: A box with a square base and top has a volume of 3 cubic meters. Materials for the box cost $1.75 per square meter. Let x be the measurement of the edge of the bottom of the box, i

Algebra ->  Volume -> SOLUTION: A box with a square base and top has a volume of 3 cubic meters. Materials for the box cost $1.75 per square meter. Let x be the measurement of the edge of the bottom of the box, i      Log On


   

Question 778505: A box with a square base and top has a volume of 3 cubic meters. Materials for the box cost $1.75 per square meter. Let x be the measurement of the edge of the bottom of the box, in meters. Express the cost of the surface area of the box, including top and bottom, as a function of x. Don't include the dollar sign in your answer.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
The box has 6 surfaces, all the same square area. 6x%5E2 is the total area, square meters unit. The VOLUME is based on height of x meters, so x%2Ax%5E2=3,
x%5E3=3
x=root%283%2C3%29

Knowing x, you can find the surface area.
6x%5E2=6%2A%28root%283%2C3%29%29%5E2 square meters. Now you use the price to find the cost for the box. totalArea%2Aprice m%5E2%2A%28dollars%2Fm%5E2%29