The base of a rectangular prism shaped aquarium without a lid is made of slate and the sides are made of glass. If slate costs three times as much (per unit area) as glass and the volume is 96m³ , the dimensions of the aquarium that minimize the cost of materials are x = m, m, 2 = т.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
icon
Related questions
Question
The base of a rectangular prism shaped aquarium without a lid is made of slate and the sides are made of glass. If slate costs three times
as much (per unit area) as glass and the volume is 96m³ , the dimensions of the aquarium that minimize the cost of materials are
x =
m,
y =
m,
2 =
т.
Transcribed Image Text:The base of a rectangular prism shaped aquarium without a lid is made of slate and the sides are made of glass. If slate costs three times as much (per unit area) as glass and the volume is 96m³ , the dimensions of the aquarium that minimize the cost of materials are x = m, y = m, 2 = т.
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
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University