A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to be used is P50 per square foot. If the machines that are used to cut the piece of wood have a possible error of 0.05 ft in each dimension, find approximately, by using the total differential, the greatest possible in error in the estimate of the cost of the wood.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...
icon
Related questions
Question

please answer using total differential and show steps ty

5. A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the
wood to be used is P50 per square foot. If the machines that are used to cut the piece of wood
have a possible error of 0.05 ft in each dimension, find approximately, by using the total
differential, the greatest possible in error in the estimate of the cost of the wood.
Transcribed Image Text:5. A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to be used is P50 per square foot. If the machines that are used to cut the piece of wood have a possible error of 0.05 ft in each dimension, find approximately, by using the total differential, the greatest possible in error in the estimate of the cost of the wood.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning