- Consider an open-top cardboard in 3-D space with rectangular faces, that has width $ x $ feet, breadth $ y $ feet, and height $ z $ feet.- Draw a picture. Assume that the box has a surface area of 36 square feet. Using the Lagrange Multiplier Method, find the dimensions of the box $ x, y, $ and $ z $ that will maximize its volume. Also, find this maximal volume.

Given: A rectangular box open from the top having rectangular faces is given. The width of the…

• Consider an open-Top cardboard in 3-D space with rectangular faces, width x feat breadth y feet and height 2 feet. That has drant a picture Assume that box has surface area of find the 36 square feet. Using the langrange Multiplier Method / dimensions of the box x, y, and 2 that will maximize its volume, Also find this maximaal volume. e • /

• Consider an open-Top cardboard in 3-D space with rectangular faces, width x feat breadth y feet and height 2 feet. That has drant a picture Assume that box has surface area of find the 36 square feet. Using the langrange Multiplier Method / dimensions of the box x, y, and 2 that will maximize its volume, Also find this maximaal volume. e • /

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.CR: Review Problem Set

Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...

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Question

- Consider an open-top cardboard in 3-D space with rectangular faces, that has width $ x $ feet, breadth $ y $ feet, and height $ z $ feet.

- Draw a picture. Assume that the box has a surface area of 36 square feet. Using the Lagrange Multiplier Method, find the dimensions of the box $ x, y, $ and $ z $ that will maximize its volume. Also, find this maximal volume.

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