Answer :

To convert 186 square inches to square centimeters, follow these steps:

1. Understand the Conversion Factor:
The conversion factor from square inches to square centimeters is 6.4516. This means that 1 square inch equals 6.4516 square centimeters.

2. Calculate the Area in Square Centimeters:
Multiply the given area in square inches by the conversion factor to find the area in square centimeters.

[tex]\[
186 \, \text{in}^2 \times 6.4516 \, \text{cm}^2/\text{in}^2 = 1199.9976 \, \text{cm}^2
\][/tex]

3. Round the Result:
To express the result to the nearest thousandth, round 1199.9976 to three decimal places.

[tex]\[
\text{Rounded area} = 1199.998 \, \text{cm}^2
\][/tex]

So, 186 square inches is approximately 1199.998 square centimeters.