You are planning to make an open rectangular box from an 11-in.-by-21-in. piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of largest volume you can make this way, and what is its volume? ..... The dimensions of box of maximum volume are (Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) The maximum volume is (Round to the nearest hundredth as needed.)

Q: A cylinder with a diameter of 15 inches and a height of 18 inches is placed inside a cube with…

A: Given, Cylinder: Diameter=15 inches Height=18 inches Cube: Dimension(side)=18 inches     Find How…

Q: If the volume of the square pyramid below is 384 and the sides (x) of the square base are each 14,…

A:

Q: The length of a rectangular prism is quadrupled, the width is doubled, and the height is cut in…

A: Given that, the length of the prism is quadrupled, the width is doubled and the height is cut into…

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: From the figure dimension for the box Length of the box = 3 -2x Width of the box = (4-3x)/ 2    = 2…

Q: At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is…

A: Given each mold is a rectangular prism whose height is 3 inches greater than the length of each side…

Q: A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut…

A: Topic - application of quadratic equations

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: GivenRectangular piece of cardboard width (b)=18 inchesRectangular piece of cardboard length (l)=20…

Q: You are planning to make an open rectangular box from an8-in.-by-15-in. piece of cardboard by…

A: Let h - side length of a corner square.…

Q: An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the length of the side of the square is x in So the height of the box= x in  Length = (12-2x) in…

Q: The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut…

A:

Q: A farmer wants to make two identical rectangular enclosures next to his barn, as shown below. If he…

A:

Q: Starting with a 60​-foot-long stone​ wall, a farmer would like to construct a rectangular enclosure…

A:

Q: The volume of a rectangular box is hB, where h is the height and B is the area of the base of the…

A:

Q: A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut…

A:

Q: An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal…

A: Let l is length of the box, w is a width of the box and h is the height of the box.…

Q: A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut…

A:

Q: From a thin piece of cardboard (10 inch by 10 inch ) square corners are cut out so that the sides…

A:

Q: . A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting…

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: 1.) pedro wishes to use vooft of fencing to enciose a Rectangular garolen. Determine the Maximum…

A:

Q: If 1200 cm? of material is available to make a box with a square base and an open top, what is the…

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: Let a and b the width and length of the fence Draw the diagram by representing a and b

Q: Marcus creates a two-dimensional cross-section by slicing a cube parallel to its base. If the volume…

A:

Q: Suppose that the base of the square pyramid below has an area of 12 cm2 and that the altitude of the…

A:

Q: The area of the rectangular piece of cardboard shown below is 228 square inches. The cardboard is…

A:

Q: 3. Gabby is designing a rectangular swimming for a client. The length and width of the pool are 10…

A:

Q: A side of an equilateral triangle is 16 m long. What is the area of the triangle? Do not round any…

A: We need to find area of triangle.

Q: A box with no top is to be made by cutting a 2-inch square from each corner of the square sheet of…

A: Solution : From given square sheet of metal as shown in the question.  Given that , The sheet of…

Q: You are planning to make an open rectangular box from an 11-in.-by-21-in. piece of cardboard by…

A: Given: You are planning to make an open rectangular box from an 11-in by 21-in,piece of cardboard by…

Q: The portable building shown below has straight sides that are 2 meters high, a diameter of 6 meters,…

A: Given a portable building which is in the form of cylinder surmounted by a cone. Dimensions of the…

Q: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

Q: Find the dimensions of a rectangle with perimeter 200 ft and whose area is as large as possible. O…

A:

Q: From a 50-cm-by-50-cm sheet of aluminum, square corners are cut out so that the sides can be folded…

A:

Q: A rectangular display in a furniture store needs walls on three sides only, with 6-foot openings on…

A: Given, The display needs to have floor space of 450 ft2. Used formula - Area of rectangle = Length…

Q: A rancher wishes to enclose a 4000 m² field and subdivide the field into 4 rectangular plots, as…

A:

Q: Suppose you wanted a flat that would hold 9,000 cubic centimeters of strawberries. What would be the…

A:

Q: A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and…

A: Length of the long sheet L = 10'' Width of the long sheet W = 8'' The side of the square cutting…

Q: 1. find the dimenstors of a maximum Lwithout a top of capacity, 108 sq. cm. box who de Sunface area

A:

Q: Find the dimension of the following shape so that total area enclosed is as large as possible, given…

A: Given the perimeter of the figure below is 120 inches.  To find the largest area possible.

Q: A tapered pin is in the shape of the frustum of a cone. The upper diameter is 1 in., the lower…

A: Given: The upper diameter is 1 in., the lower diameter is 1 5/16 in., and the length is 5 in.  To…

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: Given:

Q: of a right rectangular prism topped with a rectangular pyramid. The dimensions of the prism are 38…

A: Given, A wedding tent is transformed into the shape of a right rectangular prism topped with a…

Q: Suppose that we want to send a parcel in the shape of a square-based rectangular solid, and the…

A: Let each side of the square base of the box be x inches and the length of the box be l inches…

Q: The Thinker, by Auguste Rodin, is placed in a packing case with internal measurements of…

A: Prism volume = l *b*h We are given with 6*3*5 dimensions packing case.   One dimension is tripled,…

Q: 1. Agutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: Maximizing the surface.

Q: The volume of a right cone is 48π units^3. If its height is 9 units, find its circumference in terms…

A: Recall:  volume, V=13πr2h Circumference, C=2πr We have, V=48π, h=9

Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

A:

Q: The volume of a sphere is 2,240 yd³. What will be the new volume if the dimensions are multiplied by…

A: First find radius and multiply by one fourth then use volume formula