Problem #PRU-30451

Problem

Consider a rectangular parallelepiped with size a) $4\times 4\times 4$; b) $4\times 4\times 3$; c) $4\times 3\times 3$, made up of unit cubes. Consider the game with two players where: in one turn a player is allowed to pierce through any row with a long wire, as long as there is at least one cube in the row with no wire. The loser is the player who cannot make a move. Who would win, if the right strategy is used?