A Rectangular Box Is to Have a Square Base and a Volume

question 73

Multiple Choice

A rectangular box is to have a square base and a volume of 32 . If the material for the base costs 10 cent/square foot, the material for the sides costs 30 cent/square foot, and the material for the top costs 20 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost.

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Definitions:

Sensory System

The part of the nervous system responsible for processing sensory information received from the environment.

Limbic System

A complex system of nerves and networks in the brain, involved with instinct and mood control, and the processing of emotions.

Autonomic Nervous System

The part of the nervous system that controls involuntary bodily functions, such as heartbeat and digestion.

Sympathetic Nervous System

Part of the autonomic nervous system responsible for activating the body's fight-or-flight response during stressful situations.