(5) Are there other shapes that would hold the same volume yet have even less surface area? Let's explore this. Look up any formulas needed on the Internet. (a) Consider a cube shape for a drink container. A cube has all side lengths the same. In order to hold a volume of 370 cm³, what must the side length be to the nearest hundredth? Once you know the side length, use it to determine the total surface area for this cube drink container. the minimum surface area you found? Would this container be better? Explain.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
icon
Related questions
Question

Help answer this calculus question. Number 5

heig
can different from each other. One may
be larger or smaller than the other.
(5) Are there other shapes that would hold the same volume yet have even less surface area? Let's
explore this. Look up any formulas needed on the Internet.
(a) Consider a cube shape for a drink container. A cube has all side lengths the same. In order to
hold a volume of 370 cm³, what must the side length be to the nearest hundredth? Once you
know the side length, use it to determine the total surface area for this cube drink container.
minimum surface area you found? Would this container be better?
Explam.
thu
Transcribed Image Text:heig can different from each other. One may be larger or smaller than the other. (5) Are there other shapes that would hold the same volume yet have even less surface area? Let's explore this. Look up any formulas needed on the Internet. (a) Consider a cube shape for a drink container. A cube has all side lengths the same. In order to hold a volume of 370 cm³, what must the side length be to the nearest hundredth? Once you know the side length, use it to determine the total surface area for this cube drink container. minimum surface area you found? Would this container be better? Explam. thu
Expert Solution
steps

Step by step

Solved in 3 steps with 2 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,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL