The operator reported that the solo pilot-rated student was conducting a cross county flight and during the touchdown, the airplane bounced "multiple times," landed hard, and the propeller impacted the runway. The pilot taxied off the runway without further incident. A postflight inspection revealed substantial damage to the firewall and to the floorboards underneath the rudder pedals.
The operator reported there were no pre-impact mechanical failures or malfunctions with the airframe or engine that would have precluded normal operation.