(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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
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