2. An open top box is to be constructed from rectangular pieces of cardboard. The base will be a square cut from sturdy and more expensive material, one that costs $4.00 per square foot. The four walls will be cut from more affordable material that costs $1.00 per square foot. What are the dinmensions of the least expensive box one can design that will enclose 54 cubie feet of volume? How expensive will this box be to construct?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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An open top box is to be constructed from rectangular pieces of cardboard. The base will be a square
2.
cut from sturdy and more expensive material, one that costs $4.00 per square foot. The four walls will be cut from more
affordable material that costs $1.00 per square foot. What are the dimensions of the least expensive box one can design that
will enclose 54 cubic feet of volume? How expensive will this box be to construct?
Transcribed Image Text:An open top box is to be constructed from rectangular pieces of cardboard. The base will be a square 2. cut from sturdy and more expensive material, one that costs $4.00 per square foot. The four walls will be cut from more affordable material that costs $1.00 per square foot. What are the dimensions of the least expensive box one can design that will enclose 54 cubic feet of volume? How expensive will this box be to construct?
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