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You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 275 cm³. The material for the base of the box costs 5 cents/cm² and the material for the sides of the box costs 5 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm

You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 275 cm³. The material for the base of the box costs 5 cents/cm² and the material for the sides of the box costs 5 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm

Elementary Geometry For College Students, 7e
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
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 275 cm³. The material for the base of the box costs 5 cents/cm² and the material for the sides of the box costs 5 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm
Transcribed Image Text:You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 275 cm³. The material for the base of the box costs 5 cents/cm² and the material for the sides of the box costs 5 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm
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