Alina wants to make keepsake boxes for her two best friends. She doesn't have a lot of money, so she wants to make each box described so that it holds as much as possible with a limited amount of material. For Eliza, Alina wants to make a rectangular box whose base is twice as long as it is wide. This box will be lined on the entire inside with velvet and in addition the outside of the top of the box is to be lined in velvet. If Alina has 300 square inches of velvet, how can she make Eliza's box so that it holds as many keepsakes as possible? Find the width (w), length (/), and height of the box in inches. (Round your answers to three decimal places.) Velvet-lined box width length height eBook 1=2w in in in W

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
Alina wants to make keepsake boxes for her two best friends. She doesn't have a lot of money, so she wants to make each box described so that it holds as much as possible with a
limited amount of material.
For Eliza, Alina wants to make a rectangular box whose base is twice as long as it is wide. This box will be lined on the entire inside with velvet and in addition the outside of the top of
the box is to be lined in velvet. If Alina has 300 square inches of velvet, how can she make Eliza's box so that it holds as many keepsakes as possible? Find the width (w), length (/), and
height of the box in inches. (Round your answers to three decimal places.)
Velvet-lined box
width
length
height
eBook
1=2w
in
in
in
W
Transcribed Image Text:Alina wants to make keepsake boxes for her two best friends. She doesn't have a lot of money, so she wants to make each box described so that it holds as much as possible with a limited amount of material. For Eliza, Alina wants to make a rectangular box whose base is twice as long as it is wide. This box will be lined on the entire inside with velvet and in addition the outside of the top of the box is to be lined in velvet. If Alina has 300 square inches of velvet, how can she make Eliza's box so that it holds as many keepsakes as possible? Find the width (w), length (/), and height of the box in inches. (Round your answers to three decimal places.) Velvet-lined box width length height eBook 1=2w in in in W
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