The game of chess was invented by a mathematician named Sessa in the fifteenth century. The story goes that the King of Persia was so delighted by the game that he offered to let Sessa name his own reward Sessa replied that he would take one grain of wheat for the first square on his 8 by 8 chessboard, two grains for the second square, four grains for the third square and so on, doubling the number of grains each time until the 64th square was reached The king immediately called for a bag of grain to fill this simple request,but the reward turned out to be slightly more than he anticipated.
(1) Calculate how much wheat the King had
to give to Sessa
(2) Calculate how many Gampel Pavillions will be required to hold this amount of wheat.
For 1) I did 2*2^64 to get the amount of wheat I just need help with number two.I don't know how to start and I want to know if I did number 1 right. Does anyone know any websites that could help me with this problem?
Thank you in advance !