110 Geometrical Problemslike some other things, is doomed to of a knife? In what direction would
be cut up or broken, and the interest you make the cut?
lies in the number of resultant pieces.
Suppose you had the pretzel de-
picted in the illustration lying on the
table before you, what is the greatest
number of pieces into which you
could cut it with a single straight cut
318. CUTIING THE CHEESE
Here is a simple question that will to get an exact answer. I have a piece
require just a few moments' thought of cheese in the shape of a cube. How319. THE FLY'S JOURNEY
A fly, starting from the point A, can
crawl round the four sides of the base
of this cubical block in four minutes.
Can you say how long it will take it to
crawl from A to the opposite upper
corner B?
am I to cut it in two pieces with one
straight cut of the knife so that the
two new surfaces produced by the cut
shall each be a perfect hexagon?
Of course, if cut in the direction of
the dotted line the surfaces would be
squares. Now produce hexagons.:B- THE TANK PUZZLE
The area of the floor of a tank is 6 square feet, the water in it is 9 inches
deep. How much does the water rise (l) if a I-foot metal cube is put in it;
(2) how much farther does it rise if another cube like it is put in by its side?