A Square $1$ on a Side, Is Cut Out of Each Corner

question 111

Multiple Choice

A square, $1$ . on a side, is cut out of each corner of a square sheet of aluminum. (See the figure below.) The sides are folded up to form a rectangular container with no top. The volume of the resulting container is $$225 \mathrm { in } ^ { 3 }$$ . What was the size of the original sheet of aluminum?

• A) \(18 \mathrm { in } \times 18 \mathrm { in }\)
• B) \(17 \text { in } \times 17 \text { in }\)
• C) \(10 \text { in } \times 10 \text { in }\)
• D) \(19 \text { in } \times 19 \text { in }\)
• E) \(16 \text { in } \times 16 \text { in }\)

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Definitions:

Acceptance

The action or process of being received as adequate or suitable, often involving recognition of one's reality or truth without attempting to change it.

Trust

The firm belief in the reliability, truth, ability, or strength of someone or something, often seen as foundational to relationships and societal interactions.

Horney

Karen Horney, a psychoanalyst who contributed significantly to the theory of neuroses and proposed theories on neurotic needs and personality development.

Dreams

are sequences of thoughts, images, and sensations occurring in a person's mind during sleep, reflecting subconscious desires or fears.