Solid Geometry Puzzles 111- THE NOUGAT PUZZLE
A block of nougat is 16 inches long, 8 inches wide, and 71f2 inches deep.
What is the greatest number of pieces that I can cut from it measuring 5 inches
by 3 inches by 21h inches?
- AN EASTER EGG PROBLEM
"Here is an appropriate Easter egg problem for you," said Professor Rack-
brane at the breakfast table. "If I have an egg measuring exactly three inches
in length, and three other eggs all similar in shape, having together the same
contents as the large egg, can you give me exact measurements for the lengths
of the three smaller ones?"
- THE PEDESTAL PUZZLE
An eccentric man had a block of wood measuring 3 feet by I foot by I foot,
which he gave to a wood turner with instructions to turn from it a pedestal,
saying that he would pay him a certain sum for every cubic inch of wood
taken from the block in process of turning. The ingenious turner weighed the
block and found it to contain 30 pounds. After he had finished the pedestal
it was again weighed, and found to contain 20 pounds. As the original block
contained 3 cubic feet, and it had lost just one-third of its weight, the turner
asked payment for I cubic foot. But the gentleman objected, saying that the
heart of the wood might be heavier or lighter than the outside.
How did the ingenious turner contrive to convince his customer that
he had taken not more and not less than I cubic foot from the block?
- THE SQUIRREL'S CLIMB
A squirrel goes spirally up a cylindrical post, making the circuit in four feet.
How many feet does it travel to the top if the post is sixteen feet high and three
feet in circumference?