A Rectangular Piece of Cardboard Measuring 20 Inches by 39 $1364.09$

question 17

Multiple Choice

A rectangular piece of cardboard measuring 20 inches by 39 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each
Such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.

• A) \(1364.09\) in. \(^ { 3 }\)
• B) \(29,578.83\) in. 3
• C) \(1490.83\) in. 3
• D) \(631.5 \mathrm { in } ^ { 3 }\)

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Definitions:

Statute of Frauds

A legal concept that requires certain types of contracts to be executed in writing and signed by all parties to be legally enforceable.

Fraudulent Contracts

Agreements made with the intent to deceive or defraud others, lacking honesty and legality.

Federal Level

Pertaining to the national government of a country, as opposed to state or local levels.

English Act

Likely refers to a specific piece of legislation from the United Kingdom, but without additional context, the exact act is unclear.