I think this may work... just do a 

GET https://spreadsheets.google.com/feeds/worksheets/key/private/full

where *key* is the entry from gd:resourceId spreadsheet:*key* that you got from 
docs.google.com.

The return feed  will contain entries corresponding to the worksheets of 
your spreadsheet. If you really want to find the Spreadsheet API key, then 
just do a 

GET https://spreadsheets.google.com/feeds/spreadsheets/private/full

then find among all your  spreadsheet entries  the one where <link 
rel='alternate' href='https://...'> matches the key you found from Docs API, 
then get the <id> of that entry. 

Hope this helps.

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