A brew basket is provided for use in a beverage brewing machine. The brew basket includes a body defining a brewing reservoir that extends along a longitudinal length from an open top to a bottom end having one or more openings. The brewing reservoir has an internally tapered multi-sided three-dimensional (3D) shape. The brewing reservoir having a first cross-sectional area at the open top that progressively narrows along the longitudinal length of the multi-sided 3D shape to a smaller second cross-sectional area proximate to the one or more openings at the bottom end. The open top is configured to receive heated water from the brewing machine during a brewing operation with brewed beverage discharging from the one or more openings. The multi-sided 3D shape of the brewing reservoir configured to receive a filter pack having a generally tapered multi-sided 3D shape similar to the multi-sided 3D shape of the brewing reservoir.