1/2cm of ice
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The water equivalent of snow varies, but as a general rule, 20 centimetres of freshly fallen snow is equivalent to 2 cm of rain. If the snow has been lying around for a while then its density will increase.
It would probably be easier to use skis.
A bucket of water is heavier than a bucket of snow when both are of the same size. This is because water is denser than snow; snow contains a significant amount of air, which makes it lighter. Thus, even a full bucket of snow will weigh less than a full bucket of water.
I't will take about 5 seconds because snow is water.
If it's heavily compacted snow, then one cubic foot weighs in at about 25 lbs. At 8 lbs to the quart, you are looking at less than a gallon of water. Closer to 3 quarts of water.