Use an Equation to Solve the Problem $x$ Inches Is Cut Out of Each Corner of an 8

question 41

Multiple Choice

Use an equation to solve the problem.
-A square of side $x$ inches is cut out of each corner of an 8 in. by 12 in. piece of cardboard, and the sides folded up to form an open-topped box. Use your graphing calculator to determine the dimensions of cut-out squares that will produce the box of maximum volume.
(Hint: you will first need to write the volume of the box $\mathrm { V }$ as a function of $x$ .)

• A) \(1.7\) inches by \(1.7\) inches
• B) \(1.8\) inches by \(1.8\) inches
• C) \(1.6\) inches by \(1.6\) inches
• D) \(1.4\) inches by \(1.4\) inches

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Definitions:

Held For Sale

A designation for assets or groups of assets and liabilities that a company intends to sell within one year from the date of classification.

Fair Value

An estimate of the market value of an asset or liability, based on current prices in an active market or derived from a model if no direct market price is available.

Control Criterion

A principle or standard used to determine whether one entity has the power to direct the financial and operating policies of another to gain economic benefits.