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

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 $^ { 3 }$

Correct Answer:

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