The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with a possible error of 0.1 cm in each dimension. Which of the following is the maximum error in calculating volume of the box?

Q: The minimum surface area for a given volume of a square-based rectangular prism occurs when the…

A: Let us assume the length of a edge of the base=xAnd height =y And volume=VSo, V=x2yor, y=Vx2

Q: A packaging company is going to make open-topped boxes out of 20 cm by 20 cm rectangles of cardboard…

A:

Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: Since you have posted multiple questions, I will solve only the first one as per the policy of…

Q: A wire b m long is cut into two pieces. One piece is bent into an equilateral triangle and the other…

A: given

Q: A standard elevator in a midrise building can hold a maximum weight of about 3 2/3 tons. Assuming an…

A: We first convert tons into pounds

Q: A production editor at Weston Publishers decided that the pages of a book should have a 1-in. margin…

A: Consider x as the length and y as the breadth of the rectangle.Then area is A = xy.Since x is length…

Q: . The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

A:

Q: A production editor decided that a promotional flyer should have a 1-in. margin at the top and the…

A:

Q: A sheet of cardboard 16 in. square is used to make an open box by cutting squares of equal size from…

A: Given, a sheet of cardboard 16 in. square is used to make an open box by          cutting squares of…

Q: find the maximum valume of a cone given that the sum of the radius and height of the cone is 15 cm.

A:

Q: In constructing an open rectangular box from 867 ft of material, what dimensions will result in a…

A:

Q: 8. Find the dimensions of the rectangular box, open at the top, which has a maximum volume if…

A: Given surface area is 18 square feet.

Q: A rectangular box having a square base and open at the top is to have a capacity of 16823 cc. Find…

A: Given; A rectangular box having a square base and open at the top is to have a capacity of 16823 cc.…

Q: In constructing an open rectangular box from 75 ft² of material, what dimensions will result in a…

A:

Q: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

A: It is given that a wire of length 10 units to be cut into two pieces. Let one piece of wire be x…

Q: If an open box has a square base and a volume of 104 in.3 and is constructed from a tin sheet, find…

A:

Q: In constructing an open rectangular box from 192 ft? of material, what dimensions will result in a…

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: ) Amran is constructing a rectangular box with a square base and an open top. The box must have a…

A: Let the side of the box be x cm and the height of the box is h cm Therefore, the volume of the box…

Q: An open box is made from a 16 inch by 16 inch piece of cardboard by cutting equal squares from each…

A: This question is based on application of derivative.

Q: Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width,…

A: Since the base is square, let the three-dimensional be x, x and y. Since they are lengths x,y,>0…

Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

Q: A cardboard box without a lid is to have a volume of 4000cm3. Find the minimum amount of cardboard…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

A:

Q: If a gun is fired with and a =30o and V0 = 500m/s, whenwill the bullet hit the ground? How far from…

A:

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

A:

Q: A rectangular box has a square base. If the sum of the height and the perimeter of the square base…

A: Explanation of the answer is as follows

Q: In constructing an open rectangular box from 48 ftf of material, what dimensions will result in a…

A:

Q: A box, open at the top, is to be made from a square piece of cardboard by cutting a square out of…

A:

Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

Q: A closed rectangular box witha volume of 81lft' is made from two kinds of materials. The top and…

A: Given, A closed rectangular box with a volume of 81 ft3is made from two kinds of materials. The top…

Q: The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

A:

Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

A:

Q: Find the maximum area that can be formed by a series of small pens next to a river with separate…

A: The area of a rectangle is the product of its length and breadth. For a parabola of the form…

Q: A tube of lip balm has a height of 2.75 inches and a diameter of 0.75inches.  a. if the cap on the…

A: Part (a):Diameter of the lip balm tube, d = 0.75 inches. Thus, the radius of the tube is r = d/2 =…

Q: Suppose we have 45 m² of material to build a box with a square bottom and no top. What dimensions…

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: A box with no top has a square base. If 64 squared centimeter of material is used, what is the…

A: A box with no top has a square base and 65 cm^2 of material is used

Q: The volume of a right circular cone whose base has a radius r and that has a height of h is given by…

A: Given that: Volume of cone, V=π3r2h, h=10cm and r=30 cm and errors in height and radius = ±0.1cm

Q: A manufacturer wants to design an open box having a square base and a surface area of 108 square…

A:

Q: Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Area of the shape=Area of the semicircle+Area of rectangle .Area of semicircle=πx22x12…

Q: a rectangular tank that is 864 ft cubed with a square base and open top is to be constructed of…

A: Let the measure of side of square base of tank  is x ft and height of tank is y ft and volume of…

Q: Find the rectangle of the maximum area that can be inscribed in a right triangle with legs of length…

A:

Q: Find the maximum and minimum volumes of a rectangular box whose surface area equals 8000 square cm…

A: Let the three sides or edges of the rectangular box be a,b and c in cm. Surface area of the box will…

Q: Find the values for each of the dimensions of an open-top box of length x, width y, and height…

A:

Q: A cardboard box without a lid must have a volume of 4m³. - Determine the dimensions that minimize…

A:

Q: If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find…

A:

Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume

Q: The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with…

A: