The cost varies tremendously depending on whether it will be wood shake, asphalt shingle, architectural shingle. Is it pitched or flat? Is a tearoff required? Are you in a high labor cost area like New York or California? Are you in a severe weather or high heat area? Will new gutters be needed? Are there many existing roof fixtures (air conditioning, vents, etc.). A very very rough starting point might be about $15,000.
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Around 35,000 dollars
6 feet, 8 inches.
The question cannot be answered because the height of the shed has not been specified. Not does the question make clear how much of the sides, and of the roof, is made of wood.
384 square feet - without using a calculator !
If the dimensions are in feet then 16 times 16 = 256 square feet