A melt plate for use in a solid ink printer is formed with a drip plate to provide controlled flow of melted ink from the melt plate to a drip point. The melt plate includes a first portion having a perimeter, a second portion having a perimeter, the second planar portion angling from the first portion along a transition boundary at a first angle, a first rim extending around the perimeter of the first portion except along the transition boundary, the first rim angling from the first portion at a second angle, and a second rim extending around the perimeter of the second portion except along the transition boundary and a drip point, the second rim angling from the second portion at a third angle, the third angle being different than the second angle.