Solve the Problem $V ( x ) = x ( 11 - 2 x ) ( 23 - 2 x )$

question 172

Multiple Choice

Solve the problem.
-A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11 inches by 23 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure.
Express the volume V of the box as a function of x.

• A) \(V ( x ) = x ( 11 - 2 x ) ( 23 - 2 x )\)
• B) \(V ( x ) = x ( 11 - x ) ( 23 - x )\)
• C) \(V ( x ) = ( 11 - 2 x ) ( 23 - 2 x )\)
• D) \(V ( x ) = ( 11 - x ) ( 23 - x )\)

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Definitions:

Performance

The execution, accomplishment, or fulfillment of a promise, contract, or other obligation.

Revocation

The act of withdrawing, canceling, or repealing a statement, offer, or privilege, which can pertain to legal contracts, licenses, or wills.

Acceptance

In contract law, the agreement by a party to the terms of an offer, forming a contract.

Capacity

In legal terms, the ability to understand the nature and effects of one's actions, specifically in forming contracts or executing wills.