The postal service will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 99 in. Suppose that you have a box with square sides so that its dimensions are h by h by w and the girth is 2h + 2w, such a box is shown to the right. Complete part (a) and (b). a. What dimensions will give the box its largest volume? b. Graph the volume as a function of h and compare what you see with your answer in part (a). a. Let h denote the length of the box and w denote the width, set up the equation of the volume of the box, V. V= h Girth (distance around here) h

The postal service will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 99 in. Suppose that you have a box with square sides so that its dimensions are h by h by w and the girth is 2h + 2w, such a box is shown to the right. Complete part (a) and (b). a. What dimensions will give the box its largest volume? b. Graph the volume as a function of h and compare what you see with your answer in part (a). a. Let h denote the length of the box and w denote the width, set up the equation of the volume of the box, V. V= h Girth (distance around here) h

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 43PS

See similar textbooks