There is no limit to the number of different
dimensions that
will give
two cubes whose sum shall be exactly seventeen cubic inches. Here is
the
answer in the smallest possible numbers.
One of the silver cubes must
measure 223278/40831 inches along each edge, and the other must
measure
11663/40831 inch.
If the reader likes to undertake the task of cubing
each number (that is, multiply each number twice by itself), he will
find
that when added together the contents exactly equal seventeen cubic
inches.
