An Open Rectangular Box Is to Be Constructed from Material

question 6

Essay

An open rectangular box is to be constructed from material that costs for the bottom and for its sides. Find the dimensions of the box of greatest volume that can be constructed for .

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Definitions:

Aristotle

An ancient Greek philosopher and polymath, whose works covered various disciplines including metaphysics, ethics, logic, and science.

Nurture

The influence of environmental factors like education and upbringing on an individual's development.

Evolutionary Psychology

A theoretical approach in psychology that attempts to explain useful mental and psychological traits—such as memory, perception, or language—as adaptations, i.e., as the functional products of natural selection.

Natural Selection

A process in biology by which organisms that are better adapted to their environment tend to survive longer and transmit more of their genetic material to succeeding generations.