A small rectangular box must be constructed with a volume of 10 cubic inches, a square base, and no top. The material for the base costs $5 per square inch and the material for the sides cost $2 per square inch. What are the dimensions of the most cost-effective box? (Use a graphing utility to estimate the answer to one decimal place.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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A small rectangular box must be constructed with a volume of 10 cubic inches, a square
base, and no top. The material for the base costs $5 per square inch and the material for the
sides cost $2 per square inch. What are the dimensions of the most cost-effective box? (Use
a graphing utility to estimate the answer to one decimal place.)
Transcribed Image Text:A small rectangular box must be constructed with a volume of 10 cubic inches, a square base, and no top. The material for the base costs $5 per square inch and the material for the sides cost $2 per square inch. What are the dimensions of the most cost-effective box? (Use a graphing utility to estimate the answer to one decimal place.)
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