The invention relates to a cooling device for cooling a power component, the cooling device having a one-piece cooling housing with a base, a first end face, a second end face, a first lateral face, and a second lateral face, which define a receiving area for receiving the power component. The cooling device further includes an inlet for supplying a cooling medium, an outlet for discharging a cooling medium, a first cooling channel, a second cooling channel, a third cooling channel, and a fourth cooling channel. The first cooling channel is arranged on the first end face, the second cooling channel is arranged on the second end face, the third cooling channel is arranged on the first lateral face, the fourth cooling channel is arranged on the second lateral face, and the first and the second cooling channel are each fluidically connected to the third and fourth cooling channel.