Question 612912
Base has 100 


1st level has 81  (since 10 - 1 = 9 and 9^2 = 81)


2nd level has 64 (since 8^2 = 64)


etc etc


So we're adding the squares


100+81+64+49+25+16+9+4+1


or 


1+4+9+16+25+36+49+64+81+100


to get


100+81+64+49+25+16+9+4+1 = 349


or


1+4+9+16+25+36+49+64+81+100 = 349


So there are 349 boxes total.