The density of dry wood varies hugely between species so there is no single answer. Multiply the density - in kilograms per cubic metre - by 35.
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Different types of wood come in different densities; most types of wood have a density slightly less than that of water (which has 1000 kilograms per cubic meter), some (like balsa) have quite a lot less, and there are even types of wood that sink in water.
It depends on the variety of the wood, whether is is seasoned and dry. From 170 kg per cubic metre for Balsa to 1370 kg per cubic metre for Lignum Vitae
Yes - a cubic metre of wood is called a stere - derived from the French word stère, meaning "a cubic metre" - from which the French word stèrer also derives, meaning "to measure in cubic metres".
"Large" isn't very specific, but seasoned, dry willow wood is about half a ton per cubic meter. "Wet"/"Green" wood would be a bit higher than that.
One kilogram of wood would only fill a small part of one cord. One kilogram weighs only a little more than 2 pounds.