If a table has a surface area of 5568 cm², what is its area in square inches?

To convert the area from square centimeters to square inches, it is essential to know the conversion factor between these two units. One inch is equal to 2.54 centimeters. When working with area, the conversion factor is squared, meaning that one square inch is equivalent to ( (2.54 , \text{cm})^2 ), which is ( 6.4516 , \text{cm}^2 ).

To perform the conversion, you divide the area in square centimeters by the number of square centimeters in a square inch:

[

\text{Area in } in² = \frac{\text{Area in } cm²}{6.4516 , cm²/in²}

]

Using the given surface area of 5568 cm²:

[

\text{Area in } in² = \frac{5568 , cm²}{6.4516 , cm²/in²} \approx 863.26 , in²

]

This calculation shows that the correct area in square inches is indeed approximately 863.26 in², confirming that the correct answer is the option that states this value. Understanding this conversion process is vital in fields such as power engineering,