The pilot reported that he had filled the airplane's fuel tanks the day before the cross-country flight, but did not visually check the fuel level in the tanks during the preflight inspection. The pilot reported that he estimated the flight would take about 1.5 hours, and full fuel tanks would have given him more than 3 hours of flight time. The pilot reported that he was 10 miles from his destination when the engine sputtered and lost power and he made an off-airport landing. The pilot reported that he saw trees in front of him and attempted a left turn to avoid the trees and impacted terrain. The airplane sustained substantial damage to the fuselage. The pilot reported that prior to the loss of engine power, there were no preimpact mechanical failures or malfunctions with the airframe or engine that would have precluded normal operation. The pilot stated that he estimated about a gallon of fuel was drained from the wing fuel tanks after the accident and the unusable fuel for the airplane is 1.25 gallons.