Question

Convert 2,500,786 square centimeters to square feet using dimensional analysis.(show steps)​

Answer 1

To convert 2,500,786 square centimeters to square feet, you multiply by the conversion factor of 0.00107639. The result is 2,500,786 cm² × 0.00107639 ft²/cm² = 2,691.9852 ft².

Step-by-step explanation:

To convert 2,500,786 square centimeters to square feet using dimensional analysis, we use the fact that 1 square centimeter is equivalent to 0.00107639 square feet. This is because 1 centimeter is equal to 0.0328084 feet and when converting square units, you must square the linear conversion factor.

Now, let's calculate the conversion step-by-step:

1. First, write down the quantity you want to convert (2,500,786 cm²).
2. Then, multiply this number by the conversion factor for square centimeters to square feet:
   2,500,786 cm² × 0.00107639 ft²/cm².
3. Carry out the multiplication: 2,500,786 × 0.00107639 = 2,691.9852 ft² (rounded to 2 decimal places).

Hence, 2,500,786 cm² is equal to 2,691.9852 square feet.