The present invention discloses a method and apparatus for conductively transferring heat away from electrical devices located on daughter boards attached to mother boards. The preferred method involves the steps of conductively transferring heat from each electrical device to a conductive layer located within the daughter board, transferring heat from the conductive layer within the daughter board to a conductive structure located on the surface of the daughter board, and transferring heat from the conductive structure to a cooling surface located on the cold plate. The preferred apparatus includes a mother board, a cold plate adjacent the mother board and attached to the mother board, a daughter board with an electrical device attached thereto, the daughter board attached to the mother board opposite the cold plate. The daughter board lies in a plane which is adjacent and substantially parallel to the plane of the mother board. Also included is conductive heat transfer means for conductively transferring heat energy from the electrical device on the daughter board to the cold plate.