Calculus
posted by Jennifer .
An OPEN box has a square base and a volume of 108 cubic inches and is constructed from a tin sheet. Find the dimensions of the box, assuming a minimum amount of material is used in it's construction. HINT: the goal is to minimize the surface are of the OPEN box; this is the function that needs to be minimized. Express the function as a function of one variable using the fact that the volume is 108 cubic inches.
Respond to this Question
Similar Questions

calculus
A box with a square base and an open top is to have a volume of 68in^3 . Neglect the thickness of the material used to make the box, and find the dimensions of the box that would minimize the amount of material used. The width and … 
Calc
A rectangular box, with a square base and open at the top is to be constructed. If the volume of the box needs to be 108 cubic feet, what is the minimum surface area? 
Calculus
If an open box has a square base and a volume of 106 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.) … 
calculus
A rectangular box is to be constructed from two different materials. The box will have a square base and open top. The material for the bottom costs $4.25/m2. The material for the sides costs $2.50/m2. Find the dimensions of the box … 
calculus
An open rectangular box having a volume of 256 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal. Hint: Let the dimensions of the box be x by … 
Physics
An open box with a square base (see figure) is to be constructed from 160 square inches of material. The height of the box is 3 inches. What are the dimensions of the box? 
Calculus
An open top box with a square base is to have a volume of exactly 500 cubic inches. Find the dimensions of the box that can be made with the smallest amount of materials. 
calculusmax & min
an open box with a square base is to be constructed from 48 square inches of material. What dimensions will produce a box with maximum volume? 
Applied Calculus
If an open box has a square base and a volume of 112 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.) … 
calc
If an open box has a square base and a volume of 91 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.