According to postal regulations, a carton is classified as “oversized” if the sum of its height and girth (perimeter of its base) exceeds 108 in. Find the dimensions of a carton with a square base that is not oversized and has maximum volume.

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

A: let the length of rectangle is l and width is bthenperimeter of…

Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.

A:

Q: An open box will be made by cutting a square from each corner a 5-ft by 8-ft piece of cardboard and…

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: You are to fence off two rectangular garden beds of the same size in such a way that they share one…

A:

Q: An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen…

A: Let x and y be the dimension of the rectangular playpen. Given

Q: A closed box, whose length is twice its width, is to have a surface area of 192 sq. inches. Find the…

A: It's a closed box, so it has a top Let ? be the width of the box. Then its length is 2?. And the top…

Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

Q: The Philippine Postal Service will accept a box for domestic shipment only if the sum of its length…

A:

Q: A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that…

A:

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: AnswerLet x,y be the length and width of printedareaGiven area of printed area  A=864 cm2  xy=864…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A:

Q: What are the dimensions of a rectangular wall that can be constructed with 81 feet of brick that…

A:

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Maxima and minima problem

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

A: Modelling the problem: Let the three dimension be x, x and y .Since base is a square base.   also…

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

A: Four square pieces at the corners of a square cardboard of size 3 × 3 feet.  And it was made into a…

Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

A:

Q: Find the dimensions of the rectangular box of maximum volume if the sum of the length, width, and…

A: To find dimension of the rectangular box of maximum volume  Given sum of length, width and height…

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A:

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet,…

A:

Q: What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14…

A:

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

A:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given  Total length of the fence=2500 m Letl=length of the plotb=width of the plot

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

Q: An airline policy states that all baggage must be box-shaped with a sum of the length, width, and…

A: Given data is: The sum of the length, width, and height not exceeding 120 inches. To find the…

Q: Find the dimensions of a rectangle with area 1000 m2 whose perimeter is as small as possible. (If…

A:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given length of wire is 700 m. rectangular plot's three sides are bounded by electric fence.

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A:

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

A:

Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

A: I am attaching image so that you understand each and every step.

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

A:

Q: A 10-ft wire is to be formed into an equilateral triangle and a square. What is the measure of the…

A: Given;+ A 10-ft wire is to be formed into an equilateral triangle and a square. To find What is the…

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: The front face of a tent is triangular and the height of the triangle is two-thirds of the base. The…

A: Let us assume that the base of the front face= x So the height = 2x3 Length = x+3  Given volume =…

Q: If the length of three sides of a trapezium other than the base are equal to 10cm, then find the…

A:

Q: Find the maximum volume of a rectangular box whose surface area is 1600 cm? and whose total edge…

A: By using lagrange multiplier

Q: A box with an open top is to be constructed from a square piece of cardboard, 24 inches wide, by…

A:

Q: A cardboard box must have a volume of 144m3 and two vertical sides should be square. If the material…

A:

Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: Let base of the rectangle = 2x and height = y

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: A 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

A: The numerical is interpreted as shown in the drawing below;

Q: A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length is…

A:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Let a and b be the sides of a retangular fence.

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be nine…

A: Volumes

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

A:

Q: Find the dimensions of a rectangle with a perimeter of 120 ft that has the largest possible area.

A:

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A:

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

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.