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8. A lidless square based box is to be built to have a volume of 4000 cm³. The cost to construct the base is double the cost to build the sides. Determine the dimensions of the box that will produce the lowest cost. Include a well labeled diagram.

8. A lidless square based box is to be built to have a volume of 4000 cm³. The cost to construct the base is double the cost to build the sides. Determine the dimensions of the box that will produce the lowest cost. Include a well labeled diagram.

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
Section9.3: 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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8. A lidless square based box is to be built to have a volume of 4000 cm³. The cost to construct the base is double the cost to build the sides. Determine the dimensions of the box that will produce the lowest cost. Include a well labeled diagram.
Transcribed Image Text:8. A lidless square based box is to be built to have a volume of 4000 cm³. The cost to construct the base is double the cost to build the sides. Determine the dimensions of the box that will produce the lowest cost. Include a well labeled diagram.
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