A square bottomed, open top box is to be constructed to contain a volume of 500cm'....
1. A box with a square base and an open top is being constructed from 1200 m² of material. Determine the dimensions of the box that will maximize the volume of the box. Briefly show that your answer gives a maximum. Dimensions (Length x Width x Height):
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.)
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...
(1 point) A box with an open top is to be constructed from a square piece of cardboard, 18 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume such a box can have. ft3
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 box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
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=?...
An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be a minimum? (Round your answers to three decimal places.) square base side length height a eBook An open box with a square base is to have a volume of 5000 cm2. What should the dimensions of the box be if the amount of material used is to be...
A box with an open top has a square base and four sides of equal height. The volume of the box is 972 ftcubed. The height is 3ft greater than both the length and the width. If the surface area is 513ft squared,what are the dimensions of the box
This box is to be constructed with a total volume of 1280cm3, but the sides have different costs. The top, bottom, left and right sides cost $2/cm2, but the front and the back cost $5/cm2. What are the dimensions of the box that have the correct volume, but minimize the cost?