A Rectangular Piece of Cardboard Measuring 20 Inches by 39 $1364.09$

Multiple Choice

A rectangular piece of cardboard measuring 20 inches by 39 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.

A) $1364.09$ in. $^ { 3 }$
B) $29,578.83$ in. 3
C) $1490.83$ in. 3
D) $631.5 \mathrm { in } ^ { 3 }$