AMC 12 2012a Problem 3

A box $2$ centimeters high, $3$ centimeters wide, and $5$ centimeters long can hold $40$ grams of clay. A second box with twice the height, three times the width, and the same length as the first box can hold $n$ grams of clay. What is $n$?

\textbf{(A)}\ 120 \textbf{(B)}\ 160 \textbf{(C)}\ 200 \textbf{(D)}\ 240 \textbf{(E)}\ 280