The ice cube kept in the aluminum box will melt faster than the one in the wooden box.

When the two ice cubes of identical shape, one is kept in an aluminum box and the other in a wooden box, the thermal energy is transferred from aluminum and wooden box to ice cubes as the ice cubes are colder.

The aluminum box is a better heat conductor than the wooden box. Hence, the ice cube kept in an aluminum box will melt faster due to fast heat transfer from the aluminum box as compared to wooden box.