A cube of aluminum suspended deep in the ocean may experience some compression due to increased water pressure at greater depths, but the internal pressure remains equal to the external pressure. The temperature at depth could significantly affect the cube's volume, potentially causing it to "shrink" more than pressure alone would. There is a discussion about the balance between compressive forces from water and repulsive forces from aluminum molecules, suggesting that deformation is possible but minimal. Calculating the pressure at various ocean depths, such as the Marianas Trench, could provide more insight into the compressive strength of aluminum. Overall, both pressure and temperature play crucial roles in determining whether the aluminum cube will yield.