Question: Find the dimensions of an open rectangular box (that is, no top) with a square base that holds 864 cubic cm and is constructed with

Find the dimensions of an open rectangular box (that is, no top) with a square base that holds 864 cubic cm and is constructed with the least building material possible.(a) Write an expression for the volume and the surface area of the boo in terms of the base b and the height h. Exclude the top when computing the surface area.(b) Find the base and height that give the box with the least material.(c) Give a carcful explanation as to why you have found the minimum surface area.

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!

Reference: Calculus and Its Applications, 12th, by Marvin L. Bittinger and David Ellenbogen Book Elementary Applied Calculus I need help with questions These are practice questions Links to Book...

Find the dimensions of a right circular cylindrical can with both a top and a bottom that holds 17576 cubic cm and is constructed with the least amount of material possible. Radius of can= cm Height...

I know these are a lot of questions. So if you can only do some of them that's okay. Thank you so very much in advance for your help. Find the dimensions and volume of the right circular cylinder of...

BIG MATH 100A ALL 2022W1 Differer X WeBWork : 2022W1_MATH_100A x C | Chegg.com X Find the point on the line 6x+y= x + V X C a...

Find the dimensions of a right circular cylindrical can with both a top and a bottom that holds 27000 cubic cm and is constructed with the least amount of material possible Radius of can Height of...

Find the dimensions of a right circular cylindrical can with both a top and a bottom that holds 27000 cubic cm and is constructed with the least amount of material possible Radius of can 16 258...

Grades for X WeBWork X C | Chegg.cc x UBC Written As X Course He x Assignmel x Assignmel x C | Chegg.c x C Do numbe x _ Math Assi X New Tab X + > C a...

Please help me (*) Find the dimensions of a right circular cylindrical can with both a top and a bottom that holds 8 cubic cm and is constructed with the least amount of material possible. Radius of...

Find the dimensions of the closed rectangular box with square base and volume 8000 cubic centimeters that can be constructed with the least amount of material.

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...

What substantive audit procedures apply to taxes?

Draw the circuit of a voltage supply comprised of a full-wave bridge rectifier, capacitor filter, and IC regulator to provide an output of +12 V.

Current Ahempt in Progress Scarlett in comidering the purchase of a new Wolt gas range by Sab - Zero Group, lhc . to increase the quality of the food served in her restaurant. It will also enhance...

Use the Wave accounting software to set up MY Brain accounts. MY Brain is a retail shop that sells electrical appliances. The transactions for the month of July are as follows: Transactions July 1...