A Building in the Shape of a Rectangular Box Is

question 101

Essay

A building in the shape of a rectangular box is to have a volume of (see the figure).It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $7/square foot for the front and back, and $6/square foot 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(C)? x = __________
y = __________
z = __________
C = __________

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Definitions:

Identified Resources

Resources whose location, quality, and quantity are known and can be recovered with current technology and economic conditions.

Nonrenewable Mineral

A mineral resource that cannot be replenished within a human timescale, such as fossil fuels or certain metals.

Underwater Mineral Deposits

Mineral resources found on the seafloor or under bodies of water, including metals, oil, and gas, often extracted through offshore mining.

Faulting

A geological process that involves the fracturing and displacement of Earth's crust, often resulting in earthquakes.