Question: A company wants to design an open rectangular box (no top) with a square base and a volume of 32 cubic meters. Determine the box

A company wants to design an open rectangular box (no top) with a square base and a volume of 32 cubic meters. Determine the box have to minimize the amount of material used for the construction of the box?

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!

Interpreting a Model: Minimizing Surface Area. A company wants to design an open- topped box with with a square base that will have a volume of 2000 cubic inches. Suppose the company wants to design...

1. [-/1 Points] DETAILS Math 110 Course Resources Optimization Course Packet on applications: Maximizing the area of an enclosed field A rectangular field is to be enclosed by 460 feet of fence. One...

3. [0/1 Points] DETAILS PREVIOUS ANSWERS MY NOTES By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be...

1. A rectangular field is to be enclosed by840feet of fence. One side of the field is a building, so fencing is not required on that side. Determine the dimensions of the rectangle that maximize its...

A rectangular box is to have a square base and a volume of 80 fts . If the material for the base costs 15 cents per square foot, material for the top costs 35 cents per square foot, and the material...

Assignment 1: Problem 4 Previous Problem Problem List Next Problem (1 point) An open rectangular box (no top) with volume 7 cubic meters has a square base. Express the surface area S of the box as a...

An open rectangular box (no top) with volume 3 cubic meters has a square base. Express the surface areaof the box as a function of the lengthof one of the sides of the base. S(x) =

i need help for this question please. Summer Assignment 1: Problem 5 Previous Problem Problem List Next Problem (1 point) An open rectangular box (no top) with volume 3 cubic meters has a square...

Calculus Modeling and Optimization Worksheet ICAN Academy 1 . A rectangular piece of land borders a wall. The land is to be enclosed and divided by 200 can be enclosed? feet of fencing, as shown...

270 Chapter 4 Applications of Derivatives c. What is the largest area the rectangle can have, and what are its dimensions? 12. Find the volume of the largest right circular cone that can be in- X...

In Example 7.5 we calculated a 95% confidence interval estimate of the Healthy Eating Index-2005 score for a random sample of participants at the time of their first interview. Recall that there are...

Dunkin Donuts and McDonalds McCaf have entered the specialty coffee business pioneered at Starbuckss 5,439 locations. Prices are 20% lower (99 cent espresso shots versus $1.45 at Starbucks), orders...

The interest rate offered by brokers, banks, and other financial institutions is called th

Monsoon Inc. is considering bidding on a government project. To do the project, the company must make an initial investment of $9 million to purchase the necessary equipment. The project will last...