A rectangular box has a width of 7 cm and a length of 1 cm. The volume of the box is decreasing at a rate of 3 cm³/min, with the width and the length being held constant. What is the rate of change of the height, in cm/min, when the height is 7 cm? Submit an exact answer in fractional form. Provide your answer below:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 11T
icon
Related questions
Question
A rectangular box has a width of 7 cm and a length of 1 cm. The volume of the box is decreasing at a rate of 3 cm³/min,
with the width and the length being held constant. What is the rate of change of the height, in cm/min, when the height is
7 cm?
Submit an exact answer in fractional form.
Provide your answer below:
dh
Transcribed Image Text:A rectangular box has a width of 7 cm and a length of 1 cm. The volume of the box is decreasing at a rate of 3 cm³/min, with the width and the length being held constant. What is the rate of change of the height, in cm/min, when the height is 7 cm? Submit an exact answer in fractional form. Provide your answer below: dh
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning