Both tungsten and diamond are extremely hard materials, but they have different properties and respond differently to external forces.
Tungsten is known for its high hardness and density, but it is not as hard as diamond. Diamond is the hardest naturally occurring substance, and it has exceptional hardness and strength.
In terms of breaking a 1m^3 cube of either material with an indestructible axe, it would likely be easier to break the tungsten cube compared to the diamond cube.
While tungsten is hard and dense, it is not as brittle as diamond. Tungsten is more likely to deform and fracture under the force of the axe, especially considering the tremendous pressure that an indestructible axe would exert. However, breaking a 1m^3 cube of tungsten would still be an immensely challenging task due to its toughness and resistance to deformation.
On the other hand, diamond is extremely hard and has strong covalent bonds between its carbon atoms. This hardness and strength make diamond highly resistant to deformation and fracture. Even with an indestructible axe, breaking a 1m^3 cube of diamond would be exceptionally difficult and likely not achievable.
In summary, while breaking either a tungsten or diamond cube with an indestructible axe would be a formidable task, the tungsten cube would be relatively easier to break compared to the diamond cube due to the difference in their hardness and brittleness properties.