AMC 8 1990 Problem 18

Each corner of a rectangular prism is cut off. Two (of the eight) cuts are shown. How many edges does the new figure have?

$\text{(A)}\ 24 \text{(B)}\ 30 \text{(C)}\ 36 \text{(D)}\ 42 \text{(E)}\ 48$ Assume that the planes cutting the prism do not intersect anywhere in or on the prism.