Solve the Problem
-A Rectangular Piece of Cardboard Measuring 15 $\mathrm { x }$

question 41

Multiple Choice

Solve the problem
-A rectangular piece of cardboard measuring 15 inches by 45 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 $\mathrm { x }$ 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) \(36,689.54\) in \(^ { 3 }\)
• B) \(1065.03 \mathrm { in } ^ { 3 }\)
• C) \(3565.03 \mathrm { in } ^ { 3 }\)
• D) \(3052.78\) in \(^ { 3 }\)

---

Definitions:

Net Pay

The amount of money an employee takes home after deductions like taxes and retirement contributions have been subtracted from their gross pay.

Federal Insurance Contributions Act

A U.S. law that mandates the collection of Social Security and Medicare taxes from employees' paychecks and employers.

Employer Requirement

The obligations and duties that an employer must fulfill towards their employees, including wages, benefits, and working conditions.

Withholding Taxes

Taxes that employers deduct from employees' wages and pay directly to the government as a part of income tax obligations.