Solve the Problem $x$ Represent the Length of a Side of Each Such Square

question 246

Multiple Choice

Solve the problem.
-A rectangular piece of cardboard measuring 30 inches by 50 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. For what value of $x$ will the volume be a maximum? If necessary, round to 2 decimal places.

• A) \(20.6\) in.
• B) \(6.07 \mathrm { in }\).
• C) \(25 \mathrm { in }\).
• D) \(41.2\) in.