If 1200 cm² of material is used to make a closed cardboard box with a square base.Find the exact dimensions (base x cm and height h cm) that will maximise thevolume of this box.

This question can be solved using the concept of maxima and minima.

Answered: If 1200 cm² of material is used to make…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 2 cents per cm² and whose sides cost 8 cents per cm². Round your answer to nearest whole number cents. Cost = cents.
A homeowner wants to build a raised rectangular garden bed. The homeowner has enough lumber to create a perimeter of 80 feet. What dimensions (in ft) will create the garden bed of maximum area? smaller side ft= larger side ft =
A kettle, with the capacity of 0.8L, is filled to its brim with water. A pail, with 3 times the capacity of the kettle, is half-filled with water. Th water in both the kettle and the pail is emptied into a fish tank with a base area of 250 cm2. Find the height of the water in the fish tank.

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact dimensions (base x cm and height h cm) that will maximise the volume of this box.