An open rectangular box with a square base has a volume of 1/2 cubic foot. Find the dimensions that give the minimum surface area. What is the minimum surface area? (Hint: The surface area of an open rectangular box with a square base o length x and width x and height h is given by the formula A = x² + 4xh and the volume is given by the formula V = x²h.)
An open rectangular box with a square base has a volume of 1/2 cubic foot. Find the dimensions that give the minimum surface area. What is the minimum surface area? (Hint: The surface area of an open rectangular box with a square base o length x and width x and height h is given by the formula A = x² + 4xh and the volume is given by the formula V = x²h.)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 27P
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Transcribed Image Text:An open rectangular box with a square base has a volume of
1/2 cubic foot. Find the dimensions that give the minimum
surface area. What is the minimum surface area? (Hint: The
surface area of an open rectangular box with a square base o
length x and width x and height h is given by the formula
A = x² + 4xh and the volume is given by the formula V = x²h.)
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