A Box with No Top Is to Be Constructed from a Piece

Multiple Choice

A box with no top is to be constructed from a piece of cardboard whose width measures $x \mathrm{~cm}$ and whose length measures $3 \mathrm{~cm}$ more than its width. The box is to be formed by cutting squares that measure $1 \mathrm{~cm}$ on each side from the four corners, and then folding up the sides. If the volume of the box will be $130 \mathrm{~cm}^{3}$ , what are the dimensions of the piece of cardboard?

A) $15 \mathrm{~cm}$ by $12 \mathrm{~cm}$
B) $23 \mathrm{~cm}$ by $16 \mathrm{~cm}$
C) $18 \mathrm{~cm}$ by $15 \mathrm{~cm}$
D) $19 \mathrm{~cm}$ by $16 \mathrm{~cm}$