Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a volume of 8,748 ft³ (see the figure). It is estimated that the annual heating and cooling costs will be $2/ft² for the top, $4/ft2 for the front and back, and $3/ft2 for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost? The base of a rectangular building has a width x and a lengthy. The building has height z.
Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a volume of 8,748 ft³ (see the figure). It is estimated that the annual heating and cooling costs will be $2/ft² for the top, $4/ft2 for the front and back, and $3/ft2 for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost? The base of a rectangular building has a width x and a lengthy. The building has height z.
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
Section9.2: Pyramids, Area, And Volume
Problem 33E
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