A rectangular tank with a square base, an open top, and a volume of 864 n...
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...
A rectangular tank with a square base, an open top, and a volume of 6912 n° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. The dimensions of the tank with minimum surface area aren. (Simplify your answer. Use a comma to separate answers.)
a 6912 ft^3 tankwith a square base and open top is to be constructed of sheet steelof a given thickness .Find the dimensions of the tank withminimumweight.the dimensions of the tank with minimum weightareft.(simplify your anwsers.use a comma to seperate answer.)
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...
1024 14. Suppose the surface area of an open-top box with a square base and rectangular sides is modeled by the function S = x2+ where x is the measure (in inches) of each side of the base. Determine the value of x which yields the minimum surface area for the box. X
A box with a rectangular base and rectangular sides is to be open at the top. It is to be constructed so that its width is 8 meters and its volume is 72 cubic meters. If building this box costs $20 per square meter for the base and $10 per square meter for the sides, what is the cost of the least expensive box? What are the dimensions of this least expensive box?Let H be the height and L the...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
6. A rectangular box with an open top is being constructed so that its base is twice as long as it is wide. In addition, the base of the box cost $2 per square foot while the sides cost $1.50 per square foot. We only want to spend $16 on materials for the box. a. Draw a labeled diagram that represents the situation using relevant variables. b. Write a formula for the box's surface area, A, in terms of only...
MathCad on block solve 3. A square bottomed, open-top tank is to be made from a sheet of metal by bending and welding. The specifications are that the volume is to be 15.0 f using the minimum sheet area. Define the volume and surface area as functions of a and b. Find the dimensions a and b in inches and display your answer as whole numbers. Als, calculate the surface area and verify the volume using your found values of...
An open top rectangular box has a volume of 343/2 cubic feet.If the dimensions are calculated as to minimize the outside surface area (bottom and four sides), then theheight of the box will be how many feet?
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