Hot water
I never heard of crushed water. Crushed ice (which sugar cubes don't dissolve in at all), but not crushed water. Let's see here: sugar dissolves faster in hot water than cold. And crushed sugar cubes, because the sugar has more surface area, dissolve faster than cold ones.
sugar cubes dissolve faster than limestone
water!
Yes
Assuming that bottled water is purer than tap water, has less ions etc, and that both volumes are the same, then sugar cubes would dissolve faster in bottled water. Thermodynamically there is less entropy in tap water than there is in purer water, so hydrogen bonding with sugar (which is polar) would be more favoured in bottled water.
Let's imagine the following objects first: Sugar cubes are solid blocks, each with a comparatively larger volume. Granulated sugar is fine and particulate, and each grain has a very small volume. It is only logical that when comparing one block of sugar to one grain of sugar, that the grain dissolves faster because it has a smaller volume (less to dissolve), and the surface area to volume ratio is much higher.
will the dum dum dissolve faster in salt water or sugar or just water
The sugar cubes soften when placed in the water and begin to dissolve. The sugar cube in the hot water dissolves the fastest. Sugar will dissolve faster when you stir the solution quickly because the act of stirring increases kinetic energy which increases the temperature.
They will dissolve much quicker in warm or hot water than in cold water.
it only takes about 3 minutes to dissolve sugar in hot to boiling water. When it could take about a hour for cold water.
Heat it
Sugar will dissolve faster in hot water than it will in cold water.