Question
A rectangular storage container with an open top has a volume of 10 m3 . The...
A rectangular storage container with an open top has a volume of 10 m3 . The length of the base is twice its width. Material for the base costs $10 per sqaure meter and material for the sides costs $6 per square meter. (a) Find an equation for the volume of the box, relating the variables of the height of the box and the width of the base of the box. (b) Use the previous equation to solve for the height in terms of the width of the base. (c) Find an equation for the surface area of the box as a function of the width of the base. (d) Find an equation for the cost of the materials as a function of the width of the base.
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