Solve the Problem $4 \mathrm {~cm}$ Squares from Each Corner and Folding Up the Sides

question 323

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 $4 \mathrm {~cm}$ 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 $1120 \mathrm {~cm} ^ { 3 }$ .

• A) \(18 \mathrm {~cm}\)
• B) \(17 \mathrm {~cm}\)
• C) \(19 \mathrm {~cm}\)
• D) \(10 \mathrm {~cm}\)

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Definitions:

Undisclosed Principal

A party in a contract whose identity is unknown to the third party with whom the agent interacts, during the transaction.

Contractual Liability

The obligation a party undertakes when entering into a contract, making them legally responsible for fulfilling the terms of the agreement.

Second Restatement

Refers to a series of legal treatises that summarize and restate the common law in the United States, specifically the second iteration of these summaries.

Preliminary Negotiations

Discussions or engagements between parties that occur before entering into a formal agreement or contract, typically to outline the terms and conditions.