Is the airplane with an empty weight of 1,271 lbs and a total weight including 400 lb for pilot and copilot, 140 lb for rear seat passenger, and cargo of 100 lb loaded within limits if fuel is 37 gallons?

To determine whether the airplane's weight and center of gravity (CG) are within limits, first, calculate the total weight of the airplane including the specified load.

1. Start with the empty weight of the airplane: 1,271 lbs.

2. Add the weight of the pilot and copilot: 1,271 lbs + 400 lbs = 1,671 lbs.

3. Then, add the weight of the rear seat passenger: 1,671 lbs + 140 lbs = 1,811 lbs.

4. Include the cargo weight: 1,811 lbs + 100 lbs = 1,911 lbs.

5. Finally, calculate the weight of the fuel. Given that aviation gasoline weighs approximately 6 lbs per gallon, the total weight for 37 gallons of fuel is 37 gallons × 6 lbs/gallon = 222 lbs.

6. Now add the fuel weight to the total loaded weight: 1,911 lbs + 222 lbs = 2,133 lbs.

The next step is to confirm if this final total weight of 2,133 lbs is within the maximum allowable weight specified by the aircraft's limitations. Assuming the aircraft's specifications indicate that this weight is acceptable, the total weight