By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 8 in. long and 3 in. wide, find the dimensions of the box that will yield the maximum volume. 
Definitions:
Multiple Intelligences
A theory proposing that individuals have a variety of distinct forms of intelligence that reflect different ways of interacting with the world.
Independent Abilities
Skills or capacities that a person can perform without relying on other abilities or skills.
Naturalistic
Refers to the observation and study of subjects in their natural environments.
Howard Gardner
A developmental psychologist best known for his theory of multiple intelligences, which suggests that intelligence is multifaceted, with different types of intelligence being valued in different cultures.
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