I know this is an older post but I wrote a SQL query that will pull all your spaces and display the total attachment size for each space:
If you have access to the DB you could run the following query to get an estimate:
SELECT S.`SPACENAME`, C.SPACEID, CONCAT(ROUND((SUM(A.`FILESIZE`) / (1024 * 1024))), ' MB') AS 'SIZE'
FROM ATTACHMENTS A LEFT JOIN CONTENT C ON C.`CONTENTID` = A.`PAGEID` LEFT JOIN SPACES S ON C.SPACEID = S.SPACEID
GROUP BY C.`SPACEID`
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