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

See similar textbooks

Similar questions

Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat mixture used to fill the raised bed costs 15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden?
The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute. (a) Determine the ventilation rate per child in a full classroom. (b) Estimate the air space required per child. (c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.
The area of a triangular church window is 90 square meters. The base of the window is 15 meters. What is the window’s height?