Map out the placement of the lazy Susan's base. Locate the center of the circular piece of wood using a measuring tape. Draw a pencil mark at the very center. Do the same with the circular box base.
Load a drill bit that is slightly larger than the dowel into a cordless drill. Drill a hole into the centered marks you drew on the circular piece of wood and the box base.
Measure the width of the marbles you selected. Mark the measurement onto the wooden box base. Using a saw, cut the box so that it is slightly higher than half the width of the marble.
Thread the dowel into the hole in the box base, and glue it into place. Fill the remaining space in the box base with a single layer of marbles.
Thread the circular piece of wood through the top of the dowel, so that it sits evenly on the marble bed. Use a hand saw to trim away the excess dowel.