A Building in the Shape of a Rectangular Box Is

question 170

Multiple Choice

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, $4/square foot for the front and back, and $2/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) ? ​ ​

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Definitions:

Somatosensory Cortex

A region of the brain in the parietal lobe that processes sensory input from the body, such as touch, temperature, and pain.

Sense of Touch

The sense of touch is one of the five major senses, involving the perception of pressure, temperature, and pain through skin contact.

Sight

The faculty or power of seeing; the visual perception provided by the eye.

Hearing

The ability to perceive sound by detecting vibrations through an organ such as the ear.