An apparatus for constructing a container from a continuous blank of sheet material including a plurality of panels coupled together at a plurality of fold lines is provided. The apparatus includes a mandrel that is rotatable about a rotational axis. The mandrel includes a rotary head that defines a plurality of exterior surfaces each corresponding to a panel of the continuous blank of sheet material. The rotary head forms an opening in at least one exterior surface configured to receive at least one panel for facilitating forming the blank of sheet material into a configuration with respect to a shape of the rotary head as the mandrel rotates about the rotational axis.