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A Rectangular Piece of Cardboard Measuring 30 Inches by 36

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A rectangular piece of cardboard measuring 30 inches by 36 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.


Definitions:

Deductibility

Deductibility refers to the eligibility of an expense to be subtracted from gross income to reduce taxable income, based on IRS guidelines.

Schedule C

A form used by sole proprietors to report income and expenses from a business or profession to the IRS.

Schedule E

A form used with the Form 1040 for reporting income from rental property, royalties, partnerships, S corporations, estates, trusts, and residual interests.

Tax Purposes

Criteria or activities specifically considered or accounted for in the calculation or management of taxes.

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