Question: A box with a rectangular base and open top must have a volume of 1,000 cm^3. One side is twice longer than the other adjacent

A box with a rectangular base and open top must have a volume of 1,000 cm^3. One side is twice longer than the other adjacent side of the rectangular base. Find the dimensions of the box that minimize the amount of material used. Show all steps and graph if possible, for the optimization problemis it

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

A box with a rectangular base and open top must have a volume of 1,000 cm^3. One side is twice longer than the other adjacent side of the rectangular base. Find the dimensions of the box that...

plaill. 14. A box with a square base and no top must have a volume of 10 000 cm3. If the smallest dimension is 5 cm, determine the dimensions of the box that minimize the amount of material used. 15....

4. Indicate whether each statement is true or false by circle T for true or F for false. (No justification or explanation required.) [1] (a) Every continuous function on [a, b] has a local maximum. T...

1. An oil refinery is located on the north bank of a straight river that is2km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river7km east...

please help me out with a paper explanation please, I will really appreciate it. I am having a hard time with some of the questions 14. A piece of plexiglass is in the shape of semicircle with radius...

Please help! 1. Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a, = 9 inches by b = 8 inches by cutting a square of side a: at each corner and turning up...

Hello can you answer all of these, please? 1) Show that a rectangle with a given area has a minimum perimeter when it is a square. 2) A box with a square base and open top must have a volume of 400...

I have the answers, but I don't know how to get them 1) a = 75, b = -75 2) a = 20, b = 10 3) l = 25, w = 25 5) base = 20, height = 10 6) Max. Volume = .5 x 2 x 2 = 2 3 m 7) length = 1060.6, width =...

0 Question 1 v Textbook ;_' @' Videos 3: [+] A box with a square base and open top must have a volume of 186624 cm3. We wish to find the dimensions of the box that minimize the amount of material...

Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the given cumulative area. If the area is not in the table, use the entry closest to the area. If the...

Find the current(I) with node voltage method diqum ne I dkemmi XC goilim ontebi bul. Xc enellui unumonifog novablo b ov

Which of the following is true about the Circle of Security? Group of answer choices

1.What methods could be mentioned from Unconstrained Minimization Methods? 2. Forecasting Methods for a Constant Level Model, examples? 3. General principles of Unconstrained optimization and what...

Is it necessary to change something in your everyday life in order for you to achieve the goal?

What comments do you get from the outside world in the imagined future when you have achieved what you wanted?

14. Think of a positive experience in your life, once you experienced that you had great creativity, great insight or a very strong concentration around some-thing you focused strongly on achieving....