A Building in the Shape of a Rectangular Box Is

question 77

Multiple Choice

A building in the shape of a rectangular box is to have a volume of 6,000ft³ (see the figure) . It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $3/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) ? ​ ​

• A) x = 30; y = 20; z = 10; C = 3,500
• B) x = 20; y = 30; z = 30; C = 3,500
• C) x = 30; y = 20; z = 20; C = 3,600
• D) x = 20; y = 30; z = 10; C = 3,600

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Definitions:

Meditation

A practice of focused attention to achieve a mentally clear and emotionally calm state.

Stress Hormones

Stress hormones, such as cortisol and adrenaline, are chemicals released in the body in response to stress, affecting various physiological processes.

Neural Activity

The electrochemical processes that occur within the nervous system, enabling the transmission of signals between neurons.

Meditators

Individuals who engage in the practice of meditation, focusing their mind on a particular object, thought, or activity to achieve a mentally clear and emotionally calm state.