A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 27 yd³ of debris. Find the dimensions of the dumpster that will minimize its surface area. Write the surface area formula in terms of the width, x. Assume the dumpster has an open top. SA = The width of the dumpster is X The length of the dumpster is The height of the dumpster is

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter15: Roots
Section: Chapter Questions
Problem 38A
icon
Related questions
Question
100%
A waste management company is designing a rectangular
construction dumpster that will be twice as long as it is wide and
must hold 27 yd³ of debris. Find the dimensions of the
dumpster that will minimize its surface area.
Write the surface area formula in terms of the width, x. Assume the dumpster has an open top.
SA =
The width of the dumpster is
The length of the dumpster is
X
(Round to the nearest hundredth as needed)
The height of the dumpster is
Transcribed Image Text:A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 27 yd³ of debris. Find the dimensions of the dumpster that will minimize its surface area. Write the surface area formula in terms of the width, x. Assume the dumpster has an open top. SA = The width of the dumpster is The length of the dumpster is X (Round to the nearest hundredth as needed) The height of the dumpster is
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage