A rectangular box with a square bottom has dimensions 20 inches x 20 inches x 35 inches. If the box does not have a top, what is the surface area?
A rectangular box with a square bottom has dimensions 20 inches x 20 inches x 35...
A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the cost of the box if the material of the bottom costs 16 cents per square inch, and the material of the sides costs 1 cent per square inch. A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the...
5) A rectangular box with no top is to have a surface area of 16 square meters. Find the dimensions that maximize the volume.
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 rectangular box with a volume of 272 P13 is to be constructed with a square base and top. The cost per square foot for the bottom is 15€, for the top is 104, and for the sides is 2.54. What dimensions will minimize the cost? y What are the dimensions of the box? The length of one side of the base is The height of the box is (Round to one decimal place as needed.)
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a volume of 1000 in. Find the dimensions of the box with the smallest amount of material used. 3. Use I'Hopital's rule to find 2 cos z-2+2 1200 2of material in available to smake a rectangular box with ae se and open...
[3 marks] A rectangular box has its square bottom and three of its sides made of cardboard. The front and the square top are made of clear plastic. Plastic for the top and font costs $2 m- and cardboard costs $17m². If $3 is spent for each box, how many m- of plastic are used in the top of each box when the volume is maximized? Round your answer to two decimal places.
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...
A shipping carton is a rectangular box with square ends. If the square ends have sides of length x and the overall length of the box is L, a formula for the total area A (of the six sides) of the surface is shown below. A = 2x² + 4xL Find the total surface area if x = 2.99 ft and L = 5.08 ft.
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 54 ft3. If the material for the base costs $0.22/ft2, the material for the sides costs $0.09/ft2, and the material for the top costs $0.14/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) A closed rectangular box has a length of x, a width of x, and a height of y. x=?...
A rectangular box with a volume of 320 cubic feet is to be constructed with a square base and top. The cost per square foot for the bottom is 15 cents, for the top is 10 cents and for the sides is 2.5 cents. What dimensions will minimize the cost?