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.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...

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