AMC 12 2003a Problem 3

A solid box is $15$ cm by $10$ cm by $8$ cm. A new solid is formed by removing a cube $3$ cm on a side from each corner of this box. What percent of the original volume is removed?

$\mathrm{(A) \ } 4.5 \mathrm{(B) \ } 9 \mathrm{(C) \ } 12 \mathrm{(D) \ } 18 \mathrm{(E) \ } 24$