Solve the Problem $3 \mathrm {~cm}$ Squares from Each Corner and Folding Up the Sides

question 431

Multiple Choice

Solve the problem.
-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 $3 \mathrm {~cm}$ squares from each corner and folding up the sides. Let $x$ represent the width of the original piece of cardboard. Determine a function $\mathrm { V }$ that represents the volume of the box in terms of $x$ .

• A) \(V ( x ) = 6 x ^ { 2 }\)
• B) \(V ( x ) = 3 x ^ { 2 } - 36 x + 108\)
• C) \(V ( x ) = 6 x ^ { 2 } - 27 x + 27\)
• D) \(V ( x ) = 6 x ^ { 2 } - 54 x + 108\)

Recognize the role of social comparison in self-esteem and performance improvement.

Describe how parenting styles influence children's self-esteem and personality traits.

Explain the differences between individualistic and collectivistic cultures and their impact on self-perception.

Understand the psychological characteristics and social effects of narcissism.

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Definitions:

Schema

A mental structure of preconceived ideas, a framework representing some aspect of the world, or a system of organizing and perceiving new information.

Critical Period

A specific time in development during which the presence or absence of certain experiences has a profound influence on the formation of abilities or characteristics.

Theory of Mind

The ability to attribute mental states—beliefs, intents, desires, emotions—to oneself and others, and to understand that others have beliefs and perspectives different from one's own.

Developmental Stage Theory

A concept in psychology that divides human growth into stages, with each stage characterized by unique psychological and behavioral patterns.