Front - edge to edge = 56 11/16" without handle. Measured using trim pieces since they stick out slightly beyond the cabinet sides.
Bottom of box to top = 35 3/8". Measured using front trim piece since it sticks up slightly beyond the cabinet sides.
I know you didn't ask for these next dimensions, but since I'm measuring anyway i'll include them since they may help someone else:
Overall width, including handle = 59 3/16"
Floor to top of cabinet = 42 3/8" including castors. Measured using front trim piece since it sticks up slightly beyond the cabinet sides.
Front trim piece to back of cabinet (depth) = 22 5/16".
Hope this helps!