First, gather optimiser stats on the table (if you haven't already):
begin
dbms_stats.gather_table_stats('MYSCHEMA','MYTABLE');
end;
/
WARNING: As Justin says in his answer, gathering optimiser stats affects query optimisation and should not be done without due care and consideration!
Then find the number of blocks occupied by the table from the generated stats:
select blocks, empty_blocks, num_freelist_blocks
from all_tables
where owner = 'MYSCHEMA'
and table_name = 'MYTABLE';
Multiply the number of blocks by the block size in use (usually 8KB) to get the space consumed - e.g. 17 blocks x 8KB = 136KB.
To do this for all tables in a schema at once:
begin
dbms_stats.gather_schema_stats ('MYSCHEMA');
end;
/
select table_name, blocks, empty_blocks, num_freelist_blocks
from user_tables;
Note: Changes made to the above after reading this AskTom thread