calculus
posted by Haley .
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 length of the box are each ___ in.
The height of the box is ___ in.

6x9x9
Respond to this Question
Similar Questions

homework
please help me with this...a box with a square base and an open top must have a volume of 32,000 cm^3. find the dimesinions for the box that minimize the amount of material used. 
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 … 
algebra
have 50 sq ft of material to make an open top box with a square base. a) use formula for surface area to express the height h of the box in terms of x. b) find the dimensions of the box that will produce the maximum volume. 
Calculus  HELP!
If 1200 square centimeters of material is available to make a box with a square base and open top, find the largest possible volume of the box. 
Calculus
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 … 
CalculusApplied Optimization Problem
If a total of 1900 square centimeters of material is to be used to make a box with a square base and an open top, find the largest possible volume of such a box. 
Calculus
A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used. 
Calculus I
An open box with square base is to be constructed. The material for the base costs $10 per square foot. The material for the sides costs $1 per square foot. the box must have an area of 100 square feet. Find the dimensions of the box … 
Calculus 1Optimization
A box with a square base and open top must have a volume of 4,000 cm^3. Find the dimensions of the box that minimize the amount of material used. sides of base cm height cm 
Math (calc)
An open box with a square base is to have a volume of 12ft^3. Find the box dimensions that minimize the amount of material used. (round to two decimal places). it asks for the side length and the height. Please help asap due in a few …