A Square Piece of Cardboard Is Y = 15 Inches $225 x - 60 x ^ { 2 } + x ^ { 3 }$

Multiple Choice

A square piece of cardboard is y = 15 inches long on each side. From each corner a square piece x inches on a side is cut out as shown. The flaps are then turned up to form an open box. Find a polynomial that represents the volume of the box.

A) $225 x - 60 x ^ { 2 } + x ^ { 3 }$
B) $225 - 60 x + 4 x ^ { 2 }$
C) $225 x - 60 x ^ { 2 } + 4 x ^ { 3 }$
D) $225 x - 15 x ^ { 2 } + 4 x ^ { 3 }$
E) none of these