Oh my,
try wikipedia sphere packing
A gymnasium is 5m high, 24m long and 12m wide. The
diameter of a basketball is about 24cm.
▶
Make an estimate of the number of basketballs that
they would serve to fill the gym without being
crushed.
[
2 answers
the simplest packing is just a rectangular lattice of 24cm cubes, each holding one ball.
chopping off the unused space because 5m is not a multiple of 24cm, the gym's dimensions in terms of 24cm cubes, is
20 by 100 by 50 = 100,000 balls
chopping off the unused space because 5m is not a multiple of 24cm, the gym's dimensions in terms of 24cm cubes, is
20 by 100 by 50 = 100,000 balls
1 answer