Neutral particles interact by random collisions in matter. When a beam of 1.0 MeV neutrons goes through a concrete slab 15.0 cm thick, about 2.7 per cent of the neutrons will not interact, and thus keep on going. What percentage of the neutrons would not interact if the concrete slab were made 45.0 cm thick? How many centimeters thick would the concrete need to be so that 12.0 per cent of the neutrons are transmitted?