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A Piece of Cardboard Is Twice as Long as It 2496 cm32496 \mathrm {~cm} ^ { 3 }

question 462

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A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 2 cm squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard.
Find the width of the original piece of cardboard, x, if the volume of the box is 2496 cm32496 \mathrm {~cm} ^ { 3 } .


Definitions:

Delusions

False beliefs held with strong conviction despite superior evidence to the contrary, often found in psychiatric conditions.

Obsessive-Compulsive Disorder

A chronic disorder where a person has uncontrollable, reoccurring thoughts (obsessions) and behaviors (compulsions) they feel compelled to repeat.

Schizophrenia

A severe mental disorder characterized by distortions in thinking, perception, emotions, language, sense of self, and behavior.

Depression

A mental health disorder characterized by persistently depressed mood or loss of interest in activities, causing significant impairment in daily life.

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