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:

Autonomy

The ability or right of individuals or entities to govern themselves or make their own decisions without external control.

Part-Time Work

Employment that does not meet the hours required for full-time status, often offering flexibility but potentially fewer benefits.

Economy

The system of production, distribution, and consumption of goods and services within a particular geographic region or country.

Work Schedule

refers to the planned hours of work for an employee, including start and end times, breaks, and any variations over days or weeks.