Answered: Q3 Find the lorgest volume of a lorgest…

Q3 Find the lorgest volume of a lorgest rectongulor by box with no top mode 8m. X 9m. cutting little squdes out af the four corners of an rectongular of metal , and resulting flaps. folding up

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 5SC: Find the largest area possible if the association has 1200 feet of fencing available.

See similar textbooks

Related questions

Q: A 39-inch by 104-inch piece of cardboard is used to make an open-top container by removing a square…

Q: A monoply box that has twice the the awichth me twice the length with a volume of 10000 cm³ Find the…

Q: 10. A rectangular box is to be made from 16m2 of cardboard. Use Lagrange multi- pliers to find the…

A: (10) Consider the provided question, Give that, rectangular box has to be made from 16 m2 cardboard.…

Q: A farmer has 444 feet of fence in which to fence in the rectangular area with 1 divider as shown to…

Q: Mya has an exercise ball in the shape of the sphere shown below. She wants to increase the weight of…

A: In this problem we need to find the amount of water in ball having a radius of 122 in.

Q: (c) An open aquarium with rectangular sides and bottom is to hold 13.5 liters. Find its dimension so…

Q: 8. Determine the volume of water required to fill the 6m wide swimming pool below. (hint: Redraw…

Q: VEDT roh for h (geometry volume of a cylinder)

A: The given equation is:V=πr2hTo solve for h

Q: Q3:what is the difference between the finite element and finite volume method

A: We have to write the difference between finite element method and finite volume method.

Q: Use Lagrange multipliers to find the dimensions of a rectangular box with largest volume if the…

A: Let x,_z are the dimension of rectangle then volume of the rectangle =xyz total surface area of…

Q: 10. A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Here area A of the window will be equal to the sum of the areas of the rectangle of side x, y and…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the…

A: Draw the rough diagram as shown below. From the above figure, it is observed that, Perimeter…

Q: aving 3m2 of aluminu

A: Given Having 3m2 of aluminum foil at your disposal, you want to build a rectangular box with a lid,…

Q: The volume of the square-based box shown below is 256 cm'. a) Find h in terms of / If the box has an…

Q: C.R. - 7. If the perimeter of a square hall is approx 10 yard and height of roof is 10 foot.…

A: It is given that hall is square. Perimeter of hall is, = 10 yard height of the roof of hall is,=10…

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 180 y…

Q: Example Find the dimensions of the rectangular box with an open top with largest volume if the total…

A: Given : Total surface area of the rectangular box is 216 cm²

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

A: If the squares cut from the corners are h×h inches The open-top box will have a height of h a…

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: An atom of a particular element has a volume of 7.8x10^-31 m^3. What is the volume in cubic…

Q: An open cardboard box is to be made with a volume of 4m'. Find the dimension of the box that…

A: Volume has given, we use surface area of cardboard to solve following question

Q: Having 3m2 of aluminum foil at your disposal, you want to build a rectangular box with a lid, in…

A: The volume of the rectangular box is V= xyz, where x, y, & z are the length, breadth, &…

Q: An open rectangular box is to be constructed by cutting square corners out of a 29- by 29- inch…

A: An open rectangular box to be constructed by cutting square corners out of a 29 by 29 inch piece of…

Q: What is the maximum size of the window frame you can create with 20 feet of materials? The window…

A: To Find: The maximum size of the window frame you can create with 20 feet of materials.

Q: b. x3 - 5x Ax 3.

Q: A 39-inch by 104-inch piece of cardboard is used to make an open-top conatiner by removing a square…

A: Volume: A 39-inch by 104-inch piece of cardboard is used to make an open-top conatiner by removing a…

Q: Find a formula for the volume of the box in terms of æ V(x) = Find the value for æ that will…

Q: A square sheet of metal has squares cut from its corners as shown. a сm What sized square should be…

Q: A farmer wants to enclose a rectangular field with a fence and divide it in half with a fence…

A: Let, one side= x and the parallel sides are= y So, total fence needed = 2x+3y=L

Q: Find the area between the graph of y=−3x^3 and the x‑axis on the interval [−2,2]. Write the exact…

Q: Q2. Calculate the maximum volume that can be got from a rectangular sheet (4cmx3cm). The sheet is…

A: To solve this problem, we have to obtain the volume of the open box as a function of some variable x…

Q: A trough with trapezoidal cross sections is formed by turning up the edges of a 30-inch-wide sheet…

Q: The area of a sector is Asector=n/360ºπr^2. What does the term n/360º represent?

A: Given that area of sector is n360∘πr2.

Q: 5 т 2m 3 т

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

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: topic - application of derivatives

Q: A 22-inch by 70-inch piece of cardboard is used to make an open-top box by removing a square from…

A: Given:size of cardboard= 22in by 70 in

Q: Help me i begging

A: Given: The total area is, 82 cm2 Assume that, Here, l=x+4, w=x, h=2 We know that area of the box is,…

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

A: Let x be side of the square which is cut in each corner then find volume of box. Then solve for x.

Q: Q I:- A rectangular page is to contain 30 square inches of print. The margins on each side are I…

A: NOTE: as per our guidelines we are supposed to answer only one question. kindly repost other…

Q: An open-top box is to be made from a 20 in by 30 in piece of cardboard by removing a square from…

A: Given problem is : An open-top box is to be made from a 20 in by 30 in piece of cardboard by…

Q: in open-top bin is to be made from a 15-centimeter by 40-centimeter piece of plastic by removing a…

Q: determine the valume of a 30 shape which is made by rotating the area between the cCurves of ; y…

A: From the given curve the bounded region is as shown below; Now find the point of intersection;…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: We have to use the concept of derivatives

Q: An open cardboard box is to be made with a volume of 4m. Find the dimension of the box that requires…

Q: A The cost of Ptoducing X uníts of a Product is modeled by C= 240t75X-360 Inx, xz\. Find the minimum…

A: Given, The cost of producing x units of a product is modelled by C=240+75x-360lnx…

Q: A rectangular box with an open top is to be made from a 9-inch by 24-inch piece of cardboard by…

A: This question is based on application of derivative.

Q: For the box shown, the total area is 64 cm2. (Assume that all the dimensions in the figure are in…

A: Given, Total area = 64 cm2

Question

Q3
Find the lorgest volume of a
lorgest
rectongulor
by
box with no top mode
8m. X 9m.
cutting
little squdes out af the four corners of an
rectongular
of metal , and resulting flaps.
folding up

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 10

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find the largest area possible if the association has 1200 feet of fencing available.
A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with no lid) by cutting congruent squares out of each corner, folding up the sides, and taping the edges. What size squares should you cut out of the maximum volume?
A packaging company is going to make open-topped boxesout of 20 cm by 20 cm rectangles of cardboard by cutting squares out ofthe corners and folding up the sides.(a) What is maximum volume?
A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35 cm regtangular sheet of metal. What is the maximum volume of the box , to the nereast cubic centimeter.
Find the dimensions of the closed-top box with the largest volume if the total surface area must be 150 cm^2 and also find Lagrange multiplier λ and explain.
A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small opentrough (open top and ends) by turning up two sides at right angles to the base. The sideswill be the same height, x. If the trough is to have maximum volume, how many inchesshould be turned up on each side?
What is the amount of empty space in the cylinder
Use Lagrange multipliers to find the dimensions of the box with volume 216 cm3 that has minimal surface area. (Enter the dimensions (in centimeters) as a comma separated list.) ? Thank you
a) Amran is constructing a rectangular box with a square base and an open top. The box must havea volume of 42592 cm3. If Amran wants to minimize the amount of material used, what shouldthe dimensions of the box be?
Find the volume of this 3 dimensional shape
A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by cutting a 2-centimeter square from each corner and turning up the sides. If the box is to have a volume of 196 cubic centimeters, what size cardboard should you start with?