Guess

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Across
  1. 3. It has keys but no locks, space but no room
  2. 6. The main ingredient in guacamole
  3. 8. Iconic monument found in Agra, India
  4. 10. Something that is outstanding in its field?
  5. 12. An apple a day keeps the ______ away
  6. 13. A noble gas often used in glowing signs
Down
  1. 1. Island country shaped like a boot
  2. 2. An ancient Egyptian king or ruler
  3. 4. A long-running British sci-fi show about a time-traveling alien
  4. 5. The fictional city protected by Batman
  5. 7. An award given for outstanding achievements in television
  6. 9. Standard topping for a Margherita pizza
  7. 11. What has a head and a tail, but no body?