312 Answers321. THE NOUGAT PUZZLE
First cut off the piece marked A from the end, I in. thick. The remainder
can then be cut in the manner shown, into twenty-four pieces of the required
size, 5 X 3 X 2 ~ in. All but four of the pieces are visible-two under Band
two under C.
J6 i ...
~ .... C ...-.':;.~ ......... : ........ :.: .... >~: ......... :
: , ........ ~ ....... : ... -........ -....
- " I
i .... ··+ ·····i·· .... i··· .. · : ....... '
,.. ,. :
- AN EASTER EGG PROBLEM
The volumes of similar solids are as the cubes of corresponding lengths. The
simplest answer, to be exact as required, is that the three small eggs were I ~
in., 2 in., and 2 ~ in. respectively in length. The cubes of these numbers are
2*, 8, and mAl, the sum of which is exactly 27-the cube of 3. The next
easiest answer is 2% in., 2 in., and Y.J in. But there is an infinite number
of answers.
- THE PEDESTAL PUZZLE
The man made a box 3 X I X I ft. inside, and into this he placed the
pedestal. Then he filled the box with fine dry sand, shaking it down and level-
ling the top. Then he took out the pedestal, and the sand was shaken down
and levelled, when the surface was found to be exactly 2 ft. from the top of
the box. It was, therefore, obvious that the pedestal, when completed, con-
tained 2 cubic ft. of wood, and that I cubic ft. had been removed.
324. THE SQUIRREL'S CLIMB
The squirrel climbs 5 ft. in ascending 4 ft. of the pole. Therefore he travels
20 ft. in a 16-ft. climb.