536 Puzzles and Curious Problems

(Elliott) #1

112 Geometrical Problems



  1. THE FLY AND THE HONEY


I have a cylindrical cup four inches
high and six inches in circumference.
On the inside of the vessel, one inch
from the top, is a drop of honey, and
on the opposi te side of the vessel, one
inch from the bottom on the outside,
is a fly. Can you tell exactly how far
the fly must walk to reach the honey?


  1. PACKING CIGARETTES


A manufacturer sends out his cigarettes in boxes of 160; they are packed
in eight rows of 20 each, and exactly fill the box. Could he, by packing
differently, get more cigarettes than 160 into the box? If so, what is the
greatest number that he could add? At first sight it sounds absurd to expect
to get more cigarettes into a box that is already exactly filled, but a moment's
consideration should give you the key to the paradox.



  1. A NEW CUTTING-OUT PUZZLE


Cut the figure into four pieces that will fit together and form a square.

..... .o •• :. .... .... , ~ ........


....... -._-_. -----~-.. -.-, .......
· "
•... '0"_:." · ___ ,, .......... _ ...... _ ... ;_. __ 0_
· ,
.... -.... --,"-'-" · ... -----~ .. ---_. -," -----
· · ".
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